P.7 Circle Ideas Based on Lesson by Aja Armour https://padlet.com/aarmour3/p7circles Circle Properties and Rules en-us 2018-03-30 00:21:45 UTC 2025-09-30 23:54:59 UTC hello@padlet.com Arc Length https://padlet.com/aarmour3/p7circles/wish/247554465 All regular shapes are similar. The arc measure is the same as the central angle. The formula to find the arc length of a cricle is 2piR * c/360.]]> 2018-03-30 21:08:33 UTC https://padlet.com/aarmour3/p7circles/wish/247554465 If there is a triangle where one of the sides is the diameter the third point's angle will be 90 degrees. https://padlet.com/aarmour3/p7circles/wish/247554688 Thales Theorem]]> 2018-03-30 21:11:48 UTC https://padlet.com/aarmour3/p7circles/wish/247554688 Unknown Angle Problems with Inscribed Angles in Circle https://padlet.com/aarmour3/p7circles/wish/247554694 -The Inscribed angle is 1/2 the measure of the central angle.
-The Central Angle is twice the measure of the inscribed angle.
-Inscribed Angle Theorem 
-Consequence of Inscribed Angle Theorem]]> 2018-03-30 21:11:54 UTC https://padlet.com/aarmour3/p7circles/wish/247554694 Area of Sectors https://padlet.com/aarmour3/p7circles/wish/247554709 The formula to find the area of a sector is piR^2 * c/360.]]> 2018-03-30 21:12:02 UTC https://padlet.com/aarmour3/p7circles/wish/247554709 Chords that are the same distance from the center will be the same size. https://padlet.com/aarmour3/p7circles/wish/247554763 2018-03-30 21:12:45 UTC https://padlet.com/aarmour3/p7circles/wish/247554763 Diameter https://padlet.com/aarmour3/p7circles/wish/247554842 a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.]]> 2018-03-30 21:13:43 UTC https://padlet.com/aarmour3/p7circles/wish/247554842 Radius https://padlet.com/aarmour3/p7circles/wish/247554873 Half of the length of a circle ]]> 2018-03-30 21:14:10 UTC https://padlet.com/aarmour3/p7circles/wish/247554873 In a circle, or congruent circles, congruent chords are equidistant from the center. https://padlet.com/aarmour3/p7circles/wish/247554993 2018-03-30 21:15:32 UTC https://padlet.com/aarmour3/p7circles/wish/247554993 Chord https://padlet.com/aarmour3/p7circles/wish/247555010 A chord of a circle is a straight line segment whose endpoints both lie on the circle. A secant line, or just secant, is the infinite line extension of a chord. More generally, a chord is a line segment joining two points on any curve, for instance an ellipse]]> 2018-03-30 21:15:47 UTC https://padlet.com/aarmour3/p7circles/wish/247555010 Experiments with Inscribed Angles https://padlet.com/aarmour3/p7circles/wish/247555046 One important thing you should know in lesson 4 is the vocabulary
Arc
Inscribed Angle
Central Angle
Minor Arc
Major Arc]]> 2018-03-30 21:16:13 UTC https://padlet.com/aarmour3/p7circles/wish/247555046 https://padlet.com/aarmour3/p7circles/wish/247555078 if a diameter of a circle bisects a chord, then it must be perpendicular to the chord]]> 2018-03-30 21:16:46 UTC https://padlet.com/aarmour3/p7circles/wish/247555078 Arc https://padlet.com/aarmour3/p7circles/wish/247555102 An arc is a portion of the circumference of a circle. In the figure above, the arc is the blue part of the circle. Strictly speaking, an arc could be a portion of some other curved shape, such as an ellipse, but it almost always refers to a circle. To avoid all possible mistake, it is sometimes called a circular arc.

]]> 2018-03-30 21:17:02 UTC https://padlet.com/aarmour3/p7circles/wish/247555102 In a circle, or congruent circles, congruent chords have congruent arcs https://padlet.com/aarmour3/p7circles/wish/247555125 2018-03-30 21:17:28 UTC https://padlet.com/aarmour3/p7circles/wish/247555125 Sector https://padlet.com/aarmour3/p7circles/wish/247555156 The part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle. ]]> 2018-03-30 21:17:55 UTC https://padlet.com/aarmour3/p7circles/wish/247555156 Circumference https://padlet.com/aarmour3/p7circles/wish/247555174 The circumference of a circle is the distance around the circle. It is the circle's perimeter.]]> 2018-03-30 21:18:13 UTC https://padlet.com/aarmour3/p7circles/wish/247555174 https://padlet.com/aarmour3/p7circles/wish/247555188 In a circle, parallel chords intercept congruent arcs.]]> 2018-03-30 21:18:27 UTC https://padlet.com/aarmour3/p7circles/wish/247555188 Tangent https://padlet.com/aarmour3/p7circles/wish/247555202 A line which touches a circle or ellipse at just one point. Below, the blue line is a tangent to the circle c. Note the radius to the point of tangency is always perpendicular to the tangent

]]> 2018-03-30 21:18:50 UTC https://padlet.com/aarmour3/p7circles/wish/247555202 https://padlet.com/aarmour3/p7circles/wish/247555276 In the same circle, or congruent circles, congruent central angles have congruent arcs]]> 2018-03-30 21:19:49 UTC https://padlet.com/aarmour3/p7circles/wish/247555276 https://padlet.com/aarmour3/p7circles/wish/247555278 Another important thing you should know is that the central angle is 2 times bigger than an inscribed angle]]> 2018-03-30 21:19:50 UTC https://padlet.com/aarmour3/p7circles/wish/247555278 https://padlet.com/aarmour3/p7circles/wish/247555384 2018-03-30 21:21:47 UTC https://padlet.com/aarmour3/p7circles/wish/247555384 https://padlet.com/aarmour3/p7circles/wish/247555387 2018-03-30 21:21:50 UTC https://padlet.com/aarmour3/p7circles/wish/247555387 if two chords are congruent, then the center is equidistant from the two chrods https://padlet.com/aarmour3/p7circles/wish/247555400 2018-03-30 21:22:06 UTC https://padlet.com/aarmour3/p7circles/wish/247555400 Arc Measure and Arc Length https://padlet.com/aarmour3/p7circles/wish/247555404 Arc measure is measured by degrees. Arc length is measured by distance. Don't be confused!]]> 2018-03-30 21:22:10 UTC https://padlet.com/aarmour3/p7circles/wish/247555404 https://padlet.com/aarmour3/p7circles/wish/247555414 In the same circle, or congruent circles, congruent central angles have congruent chords.]]> 2018-03-30 21:22:16 UTC https://padlet.com/aarmour3/p7circles/wish/247555414 arc length and areas pf sectors https://padlet.com/aarmour3/p7circles/wish/247555496 arc length: arclength=2 pi r c/360
c= central angle
Formula for Area of a Sector: A (sector) = pi x r^2 (C/360)
Arc Length: The circular distance around an arc is a piece of the circumference.]]> 2018-03-30 21:23:51 UTC https://padlet.com/aarmour3/p7circles/wish/247555496 https://padlet.com/aarmour3/p7circles/wish/247555684 2018-03-30 21:26:51 UTC https://padlet.com/aarmour3/p7circles/wish/247555684 Measure of the Central Angle= 2 x Measure of the Inscribed Angle https://padlet.com/aarmour3/p7circles/wish/247555764 a=2b]]> 2018-03-30 21:28:19 UTC https://padlet.com/aarmour3/p7circles/wish/247555764 https://padlet.com/aarmour3/p7circles/wish/247556873 2018-03-30 21:47:52 UTC https://padlet.com/aarmour3/p7circles/wish/247556873