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if A,B,C are three distinct points are on a circle and line AB is a diameter of the circle, then angle ACB is a right angle.

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unknown angle problems with inscribed angles in circles

The inscribed angle is half the measure of the central angle.

The central angle is double the measure of the inscribed angle

Inscribed angle theorem

Consequence of Inscribed Angle Theorem.

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circles
chords
diameters
and their relationships

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arc length= 2Pir(C/360)

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a segment that joins the center of a circle with any point on the circle.

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the circular distance around an arc

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A=pi(r²)(C/360)

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the relationship between inscribed angles and central angles

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a²+b²=c2
c is alway the hypotenuse

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All Inscribed angles that share an intercepted arc are equal in measure

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Arc measure is how many degrees are in an arc. Arc measure is also equal to the central Angle.

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Arc Measure is the number of degrees in an arc.
Arc Length is how long (distance) the arc is if we straightened it out.

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A piece of the circle shaped like a slice of pizza

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All radii are congruent and we can draw our own in if needed