# Areas of circles, sectors and segments of circles - PowerPoint PPT Presentation

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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
• 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