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Area of Segments of Circles

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

What is the area of this circle?

a)

b)

c)

16π

d)

π

2.

What is the radius of a circle with an area of 49π?

a)

49

b)

10

c)

7

d)

14

3.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer as an exact value

a)

5π/3

b)

10π/3

c)

10π

d)

40π

4.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

9.42

d)

113.10

5.

What is the area of the shaded sector?

a)

40π/9

b)

400π/9

c)

80π/9

d)

1600π/9

6.

What is the area of the shaded region? Leave your answer as an exact value.

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

7.

What is the area of the green shaded segment?

a)

16π - 64

b)

8π - 32

c)

8π - 64

d)

16π - 32

8.

What is the area of the shaded segment?

a)

32π/3 - 2√3

b)

32π/3 - 16√3

c)

16π/3 - 16√3

d)

32π/3 + 16√3

9.

Try - it, find the area of the segment of the circle.

a)

192π - 12√3

b)

384π - 144√3

c)

192π - 144√3

d)

384π - 12√3

10.
Find the area of the segment.
a)
(36π - 18) cm2
b)
(9π - 18) cm2
c)
(9π - 36) cm2
d)
None of these are the area
11.

What is the area of the shaded segment?

a)

24π - 36

b)

24π - 144

c)

24π/3 - 36

d)

12π - 36

12.
In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.
a)
5
b)
9
c)
8
d)
6
13.

What is the area of the shaded segment?

a)

185.0619

b)

88.9359

c)

39.3078

d)

5.7975

14.

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the exact area of the rest of Pacman's body?

a)

(464/9)π mm2

b)

(112/9)π mm2

c)

(116/9)π mm2

d)

(28/9)π mm2

15.

is the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure