Sec 3E / 3NA(O) June Holiday SLS by Oh Tian Mi https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties Share your views for question 1, 2 & 3 on Padlet. en-us 2018-05-22 07:22:53 UTC 2025-02-04 22:10:29 UTC hello@padlet.com oh_tian_mi https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/262608765 2018-05-22 09:00:09 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/262608765 oh_tian_mi https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/262610432 Q1: State the condition for angle AND for which the point N is to be inside the circle. Give a reason for your answer.]]> 2018-05-22 09:07:54 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/262610432 oh_tian_mi https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/262610826 Q2: State the condition for angle AND for which the point N is to be on the circumference of the circle. Give a reason for your answer.]]> 2018-05-22 09:09:51 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/262610826 oh_tian_mi https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/262610921 Q3: State the condition for angle AND for which the point N is to be outside the circle. Give a reason for your answer.]]> 2018-05-22 09:10:18 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/262610921 Angle AND = 48 /2 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/264239529                         =24(When subtended by the same arc, angle at the center of the circle is twice the angle at the circumference)

* I did not put degrees .]]> 2018-05-29 12:58:11 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/264239529 Angle AND = 48 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/264240965 *I did not put degrees]]> 2018-05-29 13:02:52 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/264240965 Angle AND = 360-90-90-48 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/264242024                         =132 (Tangents from an external point)

* I did not put degrees]]> 2018-05-29 13:06:13 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/264242024 Angle AND = 48 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/264715717 This is because the angle is subtended by arcs. (angles in a circle)]]> 2018-05-31 07:45:58 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/264715717 42 deg /2 = 24 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/264721181 180 deg -90 deg -24 deg = 66 deg
66 deg x 2 = 132 deg ( Tangents from an external point )]]> 2018-05-31 08:17:02 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/264721181 Since N is on the same side of AD, the angle N would be on the circumference near to AD. https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/264721853 180 deg - 48 deg = 156 deg (angles at the centre and circumference, angles in a semi-circle]]> 2018-05-31 08:21:23 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/264721853 Angle AND = 48 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265135463 the angle is subtended by arcs


]]> 2018-06-02 08:47:25 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265135463 Angle AND = 48 deg divided by 2 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265135585 = 24 deg
an angle at the centre is twice an angle at the circumference subtended by the same arc]]> 2018-06-02 08:49:29 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265135585 Angle AND = 132 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265135773 2018-06-02 08:53:17 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265135773 The angle must be subtended by the arcs. angle=48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265188243 2018-06-03 06:21:06 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265188243 The angle must be subtended by arc AD. Angle = 48/2 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265188373   =24 degrees]]> 2018-06-03 06:24:56 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265188373 48 degrees/2 = 24 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265188546 180 degrees-24 degrees-90 degrees= 66 degrees(angles in a triangle)
angle AND= 66 x 2
= 132 degrees]]> 2018-06-03 06:30:53 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265188546 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265188963 Angle AND = 48 deg.
The angle is subtended by arcs.]]> 2018-06-03 06:42:19 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265188963 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265189759 Angle AND = 48 deg./2
= 24 deg.
An angle at the centre is twice the angle at the circumference subtended by the same arc.]]> 2018-06-03 07:03:31 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265189759 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265189795 180 deg. - 24 deg. - 90 deg. 
= 66 deg. (angles in a triangle)
angle AND = 66 deg x 2
                    = 132 deg.]]> 2018-06-03 07:05:18 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265189795 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265192703 Angle AND = 48 deg
The angle is subtended by the minor arc AD 

]]> 2018-06-03 08:14:52 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265192703 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265192890 Angle AND = 48 deg / 2
                    = 24 degrees
(angle at center = 2 angle at circumference)]]> 2018-06-03 08:18:35 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265192890 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265193082 48 deg / 2 = 24 deg
180 deg - 90 deg - 24 deg = 66 deg (angles in a triangle)
Angle AND = 66 deg x 2
= 132 deg]]> 2018-06-03 08:21:55 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265193082 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265301613 Angle  AND = 48 deg
the angle is substended by a common arc]]> 2018-06-04 06:47:46 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265301613 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265302012 Angle AND =48/2
                     =24 deg
An angle at the centre is twice the value of an angle at the circumference substended by the same arc]]> 2018-06-04 06:49:58 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265302012 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265641365 angle AND = 48 deg
the angle is subtended by arc AD]]> 2018-06-05 13:44:16 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265641365 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265643659  angle AND = 48/2
                     = 24
angle at the center = 2 angle at circumference subtended by the same arc                        ]]> 2018-06-05 13:51:32 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265643659 angle AND = 48 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265782591 The angle is subtended by the arc AD]]> 2018-06-06 03:19:03 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265782591 angle AND = 48 degAs angle is subtended by the arc AD https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265783076 2018-06-06 03:25:28 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265783076 Angle AND = 48 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265783531 as angle is subtended by the arc AD]]> 2018-06-06 03:30:27 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265783531 angle AND = 48/2 = 24 degangle at the centre = 2 times the angle at circumference subtended by the same arc https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265784612 2018-06-06 03:40:51 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265784612 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265785623 180 deg - 24 deg - 90 deg = 66 deg 
(angles in a triangle)
angle AND = 66 deg x 2 = 132 deg

]]> 2018-06-06 03:49:36 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265785623 angle AND = 48 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265817138 the angle is subtended by the arc, AD]]> 2018-06-06 08:14:31 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265817138 angle AND= 48/2 =24 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265817748 when both angles are subtended by the same arc, the angle at the centre is twice the angle at the circumference]]> 2018-06-06 08:18:20 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265817748 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265847150 angle OAN = angle ODN= 90 deg (tangent perpendicular to radius)
angle AND =  2(180-90-48/2)
=132 deg]]> 2018-06-06 11:08:51 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265847150 Angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265853291 The angle is subtended  by the minor Arc AD

]]> 2018-06-06 11:51:19 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265853291 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265853707 Angle AND 48/2=24
When both angles are subtended  by the same Arc, the angle at the centre would be twice as big as the angle at the circumference. As a result, the angle at the circumference would by 24 degrees.]]> 2018-06-06 11:54:04 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265853707 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265854195 48/2=24 degrees
180-24-90=66 degrees (angles in a triangle)
Angle AND 2(66)=132 degrees

]]> 2018-06-06 11:57:45 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/265854195 Angle AND = 48 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266097856 For point N to be inside the circle and form the angle AND, it has to be subtended by the minor arc AD so as to become 48 deg. Using angles subtended by the same arc.]]> 2018-06-07 12:34:03 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266097856 Angle AND = 48 deg/2 = 24 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266098307 For point N to be on the circumference of the circle, we use the property, (angle at center = 2 angle at circumference), to solve. Since O, the center, makes angle AOD is 48 deg, the angle subtended by the same arc but with point N on the circumference, makes it half of 48 deg. Therefore, angle AND is 48 deg divided by 2 to get 24 deg, which is angle AND.]]> 2018-06-07 12:36:25 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266098307 Angle AND = less than 24 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266129373 If Angle AND were to be at the circumference, it is 24 deg. And the further the angle is from same arc AD, the smaller the angle AND. Thus, Angle AND is less than 24 deg.]]> 2018-06-07 14:53:41 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266129373 Angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266165222 The angle is subtended by Arc AD]]> 2018-06-07 17:39:12 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266165222 Angle AND = 24 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266165720 For point N to be on the circumference of the circle, the property (When subtended by the same arc, angle at the centre is twice angle on the circumference)]]> 2018-06-07 17:41:35 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266165720 Angle AND = 132 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266166682 Having used the property (Tangents from an external point), we can calculate angle atO to be = 2(180-90-24)]]> 2018-06-07 17:45:52 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266166682 Angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266319651 If point N is inside the circle, angle AND will be subtended with the same arc as angle AOD, which is AD. As angle in the same segment are equal, angle AND = angle AOD = 48 degrees. ]]> 2018-06-08 14:17:44 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266319651 Angle AND = 24 degrees. https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266321169 If point N is on the circumference of the circle, the angle at the centre of the circle, angle AOD, is twice of the angle at the circumference, angle AND. As a result, angle AND = 48/2 = 24 degrees]]> 2018-06-08 14:25:32 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266321169 Angle AND = 132 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266322799 Angle AND is subtended by the major segment while angle AOD is subtended by the minor arc. As a result, angle AND + angle AOD = 180 degrees. Since angle AOD = 48 degrees, angle AND = 180 - 48 = 132 degrees. ]]> 2018-06-08 14:35:34 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266322799 Angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266395703 The angle is subtended by Arc AD]]> 2018-06-09 08:07:59 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266395703 Angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266412997 The angle is subtended by the arc AD

]]> 2018-06-09 14:21:14 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266412997 Angle AND = https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266413225 2018-06-09 14:23:25 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266413225 Angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266630787 The angle is subtended by Arc AD]]> 2018-06-11 14:46:07 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266630787 Angle AND = 24 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266631137 The condition include, when subtended by the same arc, angle at the centre of the circle is twice the angle of the circumference of the circle. Therefore, to get the answer, we have to divide 48 by 2 to get 24 degrees.

]]> 2018-06-11 14:47:41 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266631137 Angle AND = 132 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266631519 48/2 = 24 degrees (subtended by arc AD)
180 - 90 - 24 = 66 degrees (angles in a triangle)
Angle AND = 66 x 2 = 132degrees (Tangents from an external point) ]]> 2018-06-11 14:49:21 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/266631519 Angle AND= 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267305342 The angle is subtended by Arc AD]]> 2018-06-15 02:44:41 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267305342 Angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267454186 Angle AND is subtended by Arc AD]]> 2018-06-16 16:32:39 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267454186 Angle AND = 24 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267454321 Angle AND = 48/2 
                     = 24 degrees (subtended by arc AD)

]]> 2018-06-16 16:35:44 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267454321 Angle AND = 132 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267454422 Angle AND = 48/2 
                     = 24 degrees (subtended by arc AD)
180 - 90 - 24 = 66 degrees
Angle AND = 66 x 2 
                     = 132 degrees (tangents from an external point)]]> 2018-06-16 16:37:40 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267454422 Angle AND = https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267483319 The angle is subtended by Arc AD]]> 2018-06-17 08:39:17 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267483319 Angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267553716 Angle AND subtended by arc AD]]> 2018-06-18 03:21:47 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267553716 Angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267562128 angle AND is subtended by arc AD]]> 2018-06-18 05:09:52 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267562128 angle AND = 24 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267562280 angle AND = 48/2 
                    = 24
angle at the centre = 2 angle at circumference subtended by the same arc.]]> 2018-06-18 05:12:20 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267562280 angle AND = 132 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267562733 angle AND = 48/2 
                    = 24 degrees 
(subtended by arc AD)
180 - 90 - 24 = 66 degrees 
(angles in a triangle)
angle AND = 66 x 2
                    = 132 degrees
(tangents from an external point]]> 2018-06-18 05:18:15 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267562733 angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267642501 angle AND is subtended by arc AD]]> 2018-06-18 14:59:55 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267642501 angle AND = 24 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267642719 angle AND = 48/2 =24
(subtended by arc AD)]]> 2018-06-18 15:01:17 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267642719 angle AND = 132 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267642865 2018-06-18 15:02:18 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267642865 angle AND = 48 degreesangle AND is subtended by arc AD https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267764112 2018-06-19 09:48:11 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267764112 angle AND = 24 degreesangle AND = 48/2 =24 Deg (subtended by arc AD) https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267764178 2018-06-19 09:48:50 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267764178 Angle AND = 132 degrees180 - 90 - 24 = 66 degrees (angles in a triangle)Angle AND = 66 x 2 = 132 deg (Tangents from an external point) https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267764298 2018-06-19 09:49:40 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267764298 angle AND = 48 degree https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267782700 angle AND is subtended by arc AD]]> 2018-06-19 12:24:21 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267782700 angle AND = 24 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267782916 angle AND = 48/2 =24
(subtended by arc AD )]]> 2018-06-19 12:25:57 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267782916 angle AND= 48 degree https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267848965 Angle AND is subtended by arc AD]]> 2018-06-19 19:41:48 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267848965 Angle AND = 24 degree https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267849164 Angle AND =48/2
=24( subtended by arc AD)]]> 2018-06-19 19:43:37 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267849164 angle AND = 48 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267918733 angle AND is subtended by arc AD]]> 2018-06-20 08:50:16 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267918733 Angle AND = 132 degree https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267930361 Angle AND =24 degree (subtended by arc AD)
180-90-24=66 (angles in a triangle)
Angle AND = 66 x 2
= 132 degree]]> 2018-06-20 10:25:50 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267930361 Angle AND = 48 degree https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267978811 Angle AND is subtended by arc AD.

]]> 2018-06-20 16:27:15 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267978811 Angle AND = 24 degree https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267979297 Angle AND = 48 degree divide by 2
= 24 (since it is subtended by arc AD ]]> 2018-06-20 16:32:03 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267979297 Angle AND = 132 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267979640 Angle AND = 24 degree (since it is subtended by arc AC)
180-90-24=66 (Angles in a triangle)
Therefore, Angle AND = 66 multiply 2= 132]]> 2018-06-20 16:35:24 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/267979640 angle AND = 48 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268070399 Angle AND is subtended by arc AD]]> 2018-06-21 09:03:11 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268070399 angle AND= 48 divide by 2 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268070794                      = 24 deg
(angle AND is subtended by arc AD)]]> 2018-06-21 09:06:31 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268070794 angle AND = 180-90-24 (angles in a triangle) https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268071350                    =66
hence, angle AND= 66 x 2
=132 deg]]> 2018-06-21 09:11:20 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268071350 Angle AND= 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268076912 Angle AND is subtended by arc AD]]> 2018-06-21 09:51:13 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268076912 angle AND=48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268092715 angle AND is sustended by arc AD]]> 2018-06-21 12:21:41 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268092715 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268092827 same same]]> 2018-06-21 12:22:50 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268092827 Angle AND = 48degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268199963 Cuz angle AND is subtended by arc AD]]> 2018-06-22 08:13:28 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268199963 Angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268200089 This is because angle AND is subtended by arc AD]]> 2018-06-22 08:14:49 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268200089 Angle AND = 24degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268200405  When both angles are subtended by the same arc , angles at the center of the circle is twice the angle of the circumference of the circle.]]> 2018-06-22 08:18:51 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268200405 Angle AND = 24 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268200688 The angle at the centre of the circle is twice the angle of the circumference of the circle. Hence, we have to take 48 divide by 2. ]]> 2018-06-22 08:22:14 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268200688 Angle AND = 132 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268200893 Angle AND = 48/2
              = 24 degrees(subtended by arc AD)
Angle AND = 180 - 90 - 24 
              = 66 degrees(angles in a triangle)
Therefore, Angle AND = 2 x 66
= 132 Degrees ( Tangent from an external point) ]]> 2018-06-22 08:24:42 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268200893 angle AND = 132 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268201189 2018-06-22 08:27:19 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268201189 angle AND is 48 degree https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268243255 this is because the angle AND is subtended by the arc AD]]> 2018-06-22 16:18:48 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268243255 angle AND is 48 dived by two which is 24 as it is subtended by arc AD https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268243500 2018-06-22 16:21:16 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268243500 132 deg https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268244255 48/2=24
180-90-24=66
66+66=132]]> 2018-06-22 16:29:35 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268244255 angle AND is 48 degree ( subtended by arc AD ) https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268274655 2018-06-23 04:22:00 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268274655 angle AND is 24 degree as the angle at the centre is twice the angle at the circumference https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268274684 2018-06-23 04:22:48 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268274684 132 degree https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268274718 2018-06-23 04:24:01 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268274718 Arcs https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268286075 2018-06-23 11:02:51 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268286075 angle AND= 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268286111 angle AND is subtended by arc AD]]> 2018-06-23 11:04:15 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268286111 angle AND= 24 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268286152 old angle AND= 48 
new angle AND= 48/2 
                           = 24 
when subtended by the same arc, angle at the centre is twice of the angle on the circumference ]]> 2018-06-23 11:06:02 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268286152 angle AND= 132 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268286387 old angle AND= 48/2
                  = 24 (subtended by arc AD)
 half of angle AND= 180-90-24
                    = 66 (angles in a triangle)
angle AND= 66*2
                   = 132 ]]> 2018-06-23 11:14:25 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268286387 angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268287421 angle AND is subtended by arc AD]]> 2018-06-23 11:51:30 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268287421 angle AND = 24 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268287437 the angle at the centre of the circle is twice the angle at the circumference of the circle, thus 48 divided by 2 is 24]]> 2018-06-23 11:52:02 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268287437 Angle AND = 48 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268292233 angle AND is subtended by arc AD]]> 2018-06-23 13:56:04 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268292233 Angle AND = 24 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268292325 Angle AND = 48/2
                    = 24
When subtended by the arc]]> 2018-06-23 13:58:00 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268292325 Angle AND is 132 degrees https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268292385 2018-06-23 13:59:29 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268292385 Angle AND is 48 degrees. https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268322990 Arc AD have to be subtended.]]> 2018-06-24 06:35:34 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268322990 Angle AND would be 24º https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268323041 Angle in centre is twice of angle at circumference.]]> 2018-06-24 06:37:21 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268323041 Angle AND 132º https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268323260 AN and DN has to be tangent to the radius of the circle.]]> 2018-06-24 06:44:28 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268323260 angle AND = 48 degrees elsanotfromfrozen1 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268477518 (angle and is subtended by arc AD)]]> 2018-06-25 14:56:44 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268477518 angle AND=24 degrees elsanotfromfrozen1 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268478994 angle  at centre is twice of angle at circumference of the circle

48/2=24]]> 2018-06-25 15:07:21 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268478994 angle AND=132 degrees elsanotfromfrozen1 https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268479115 2018-06-25 15:08:27 UTC https://padlet.com/oh_tian_mi/Sec3NA_O_CircleProperties/wish/268479115