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Worksheets

Areas related to circles

Total questions: 12

Worksheet time: 8mins

Name
Class
Date
1.

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

2.

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

a)

A) Perimeter

b)

B) Sector

c)

C) Area

d)

D) Segment

3.

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

4.
If the sum of areas of two circles with radii R1 and R2 is equal to the area of the circle of radius R then 
a)
R1 + R2 = R
b)
(R1)2 + (R2)2 = R2
c)
R1 + R2 < R
d)
(R1)2 + (R2)2  R2
5.

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}  

6.

The radii of two concentric circle are 7cm and 14cm. What is the ratio of their areas?

a)

A) 1:4

b)

B) 1:2

c)

C) 4:1

d)

D) 2:3

7.

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

8.

Circles with same centre are called ................... circles.

a)

equal

b)

congruent

c)

same

d)

concentric

9.

 14×πr2\frac{1}{4}\times\pi r^2  is the formula of the 

a)

area of the half of the circle

b)

area of the quadrant of the circle

c)

area of three quadrant of the circle

d)

area of the circle

10.

Area of segment of a circle =

a)

Area of circle - area of sector

b)

Area of sector - area of circle

c)

Area of triangle - area of sector

d)

Area of sector - area of triangle

11.

Area of sector is also =

a)

34×r×length of arc\frac{3}{4}\times r\times length\ of\ arc

b)

12×r×length of arc\frac{1}{2}\times r\times length\ of\ arc

c)

14×r×length of arc\frac{1}{4}\times r\times length\ of\ arc

d)

13×r×length of arc\frac{1}{3}\times r\times length\ of\ arc

12.

What is the area of the shaded region?

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100