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GR 10 AREA RELATED TO CIRCLE

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

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}  

2.
Say 'TRUE' or 'FALSE'
If areas of two circles are equal, then their circumferences are also equal
a)
TRUE
b)
FALSE
3.
Say 'TRUE' or 'FALSE'
The distance traveled by a circular wheel of diameter d cm in one revolution is 2πd cm
a)
TRUE
b)
FALSE
4.

Angle of the sector is 90°then the ratio of Area of circle to area of sector is

a)

A) 1:4

b)

B) 1:2

c)

C) 4:1

d)

D) 2:3

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.

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

7.

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?

a)

3.3 ft2

b)

4.5 ft2

c)

6.3 ft2

d)

7.1 ft2

8.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
9.

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

10.

What is the area of the shaded region?

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100