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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 a circle is a set of points between two given points of a circle
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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 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 (180⁰) AB mAB = mACB ADB A C 50⁰ 50⁰ D mADB = 360⁰ - mAB B
Find the Measure of each arc • AB c) ABD • AD A 50⁰ B C D
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 110 A x 2 + 10 D
Find the Value of x and y so that circle C is congruent to circle H E (-3x +6y)⁰ A F B H C 6x+8 y G D
Homework • p. 661 • 1, 2, 4 – 10even, 11 – 25 odd, 26 – 34 even