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Areas of circles, sectors and segments of circles

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The Area of a circle is the product of and the square of the radius. A= r2. r ... Segment of a Circle. Find area of sector ZOM. Area of Sector ZOM = = mZM/360 x r2 ... – PowerPoint PPT presentation

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Title: Areas of circles, sectors and segments of circles


1
Areas of circles, sectors and segments of circles
  • 5.8

2
Theorem 5.12
  • The Area of a circle is the product of and
    the square of the radius.
  • A r2

r
3
  • Segment of a circle the part of a circle
    bounded by an arc and a segment joining its
    endpoints

Segment of a Circle
4
  • Find area of sector ZOM
  • Area of Sector ZOM
  • mZM/360 x r2
  • 72/360 x (20)2
  • 80

z
72o
20
m
o
5
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
6
Homework
  • P 288 1-21, 24-27
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