Chapter 10 : Circles

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# Chapter 10 : Circles - PowerPoint PPT Presentation

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 = mACB

A

C

50⁰

50⁰

D

B

Find the Measure of each arc
• AB c) ABD

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

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