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Area of sector and Segment of a Circle

Total questions: 20

Worksheet time: 55mins

Name
Class
Date
1.
What is the area of the shaded sector?
a)
339.12 in2
b)
113.04 in2
c)
339.29 in2
d)
None of the above
2.

Find the area of the sector, rounding your answer to 1d.p.

a)

2.1cm2

b)

2.0cm2

c)

0.5cm2

d)

12.6cm2

3.

Area of a sector of central angle 120° of a circle is 3π cm2. Then the length of the corresponding arc of this sector is:

a)

5.8 cm

b)

6.1 cm

c)

6.3 cm

d)

6.8 cm

4.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.( Use Pi =3.14)

a)

25.2 in2

b)

28.5 in2

c)

31.4 in2

d)

38.2 in2

5.

Area of a sector with central angle  θ\theta  is

a)

θ360×πr2\frac{\theta}{360}\times\pi r^2

b)

θ360×2πr\frac{\theta}{360}\times2\pi r

c)

θ360×πd\frac{\theta}{360}\times\pi d

6.

Area of circle is 154cm2, and Area of minor sector is 7.7cm2, then calculate area of major sector of circle.

a)

A) 145 cm2

b)

B) 146.3 cm2

c)

C) 77 cm2

d)

D) 147 cm2

7.

The distance along the edge of a circle between two points is the _________

a)

area of a sector

b)

arc length

c)

arc of a circle

d)

sector of a circle

8.

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

9.
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
10.

What is the area of the green shaded segment?

a)

16π - 64

b)

8π - 32

c)

8π - 64

d)

16π - 32

11.

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

12.

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

13.

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

14.
What is the area of the pink shaded sector?
a)
12.6 u2
b)
4.2 u2
c)
73.0 u2
d)
113.0 u2
15.
What is the are of the blue shaded sector?
a)
19.6 m2
b)
3.9 m2
c)
7.9 m2
d)
78.5 m
16.

What is the area of sector of a circle with central angle  60°60\degree  

a)

 πr2\pi r^2  

b)

 2πr2\pi r  

c)

 πr26\frac{\pi r^2}{6}  

d)

 πr22\frac{\pi r^2}{2}  

17.

The region bounded by chord and corresponding arc of a circle is

a)

A) Perimeter

b)

B) Sector

c)

C) Area

d)

D) Segment

18.

The region bounded by two radii and corresponding arc of a circle is

a)

A) Segment

b)

B) Sector

c)

C) Area

d)

D) Perimeter

19.

What number is pi?

a)

1.41

b)

2.00

c)

3.14

d)

5.14

20.

What is the area of this circle?

a)

b)

c)

16π

d)

π