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Worksheets

Sectors of Circles

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Find the measure of minor arc AV.

a)

55°

b)

115°

c)

85°

d)

95°

2.

Solve for x.

a)

x = 35.67

b)

x = 26

c)

x = 14

d)

x = 17.33

3.

Solve for x.

a)

42.5

b)

20

c)

22.5

d)

85

4.

Find the m∠MNQ.

a)

89⁰

b)

45⁰

c)

158⁰

d)

22⁰

5.

Find x.

a)

84⁰

b)

42⁰

c)

21⁰

d)

168⁰

6.

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 in terms of pi.

a)

5π/3 in2

b)

10π/3 in2

c)

10π in2

d)

40π in2

7.

What is the area of the shaded region? Leave your answer in terms of  π\pi  .

a)

8π/3  square units

b)

2π/3  square units

c)

32π/3 square units

d)

4π/3 square units

8.

If Pacman's mouth, when open, is 72° and the radius of his mouth is 8mm, what is the exact area of the rest of Pacman's body? Round your answer to the nearest tenth.

(a)  

9.

The area of a sector with a radius of  6 cm6\ cm  is  11310π cm2\frac{113}{10}\pi\ cm^2 . Calculate the angle of the sector. 

(a)  

10.

Given circle P, m∠RPT = 130°, and PT = 18 cm.
Solve for area of the shaded sector.

a)

367.57  cm2

b)

207.23 cm2

c)

324.08 cm2

d)

182.67  cm2