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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

Chapter 10: Circles

10.2.1 Find Arc Measures

definitions
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 = mACB

ADB

A

C

50⁰

50⁰

D

mADB = 360⁰ - mAB

B

find the measure of each arc
Find the Measure of each arc
  • AB c) ABD
  • AD

A

50⁰

B

C

D

circle congruency definition
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

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