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Chapter 10: Circles 10.2.1 Find Arc Measures. Definitions Central Angle – of a circle is an angle whose vertex is the center of a circle Minor Arc – of.

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Presentation on theme: "Chapter 10: Circles 10.2.1 Find Arc Measures. Definitions Central Angle – of a circle is an angle whose vertex is the center of a circle Minor Arc – of."— Presentation transcript:

1 Chapter 10: Circles 10.2.1 Find Arc Measures

2 Definitions Central Angle – of a circle is an angle whose vertex is the center of a circle Minor Arc – of a circle is a set of points between two given points of a circle Major Arc – of a circle is a set of points that do not lie on the minor arc ◦ Arcs are measured in degrees ◦ Measure of the arc is equal to the measure of the central angle Semicircle – is when the major and minor arc are congruent (180 ⁰) 50 ⁰ A C B D ADB AB mADB = 360 ⁰ - mAB mAB = m  ACB

3 Find the Measure of each arc a) ABc) ABD b) AD A C B 50 ⁰ D

4 Circle Congruency (definition) Two circles are congruent if they have congruent radii Find the value of x so that circle A is congruent to circle D A 110 D x 2 + 10

5 Find the Value of x and y so that circle C is congruent to circle H A C B y D E H F 6x+8 G (-3x +6y) ⁰

6 Homework p. 661 1, 2, 4 – 10even, 11 – 25 odd, 26 – 34 even

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