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Areas of circles, sectors and segments of circles

- 5.8

Theorem 5.12

- The Area of a circle is the product of and

the square of the radius. - A r2

r

- Segment of a circle the part of a circle

bounded by an arc and a segment joining its

endpoints

Segment of a Circle

- Find area of sector ZOM

- Area of Sector ZOM
- mZM/360 x r2
- 72/360 x (20)2
- 80

z

72o

20

m

o

Find area of segment Z

- Area of sector area of triangle area of

segment - Sector
- mAB/360 x r2
- 90/360 x (10)2
- 1/4 x 100 25
- Triangle
- ½ (10)(10) 50
- Area of Segment
- 25 - 50 or about 28.53

a

z

b

o

10

Homework

- P 288 1-21, 24-27

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