EduSahara™ Worksheet

Question 1

1.

If the area of a sector of a circle is 50.71 sq.cm and the angle subtended at the center by the arc of the sector is 48.00°, the perimeter of the sector is

(i)

34.22 cm
(ii)

36.22 cm
(iii)

26.22 cm
(iv)

31.22 cm
(v)

28.22 cm

Question 2

2.

If the area of a sector of a circle is 84.23 sq.cm and the area of the circle is 452.57 sq.cm, the radius of the circle is

(i)

9.00 cm
(ii)

17.00 cm
(iii)

15.00 cm
(iv)

12.00 cm
(v)

7.00 cm

Question 3

3.

The radii of the circle are

(i)

BC

,

CD

,

DE

,

EF

,

FB

,

CE
(ii)

BC

,

CD

,

DE

,

EF

,

FB

,

GE
(iii)

BC

,

CD

,

DE

,

EF

,

FB
(iv)

CD

,

DE

,

EF

,

FB
(v)

GB

,

GC

,

GD

,

GE

,

GF

Question 4

4.

If the radius of a circle is 13.00 cm and the angle subtended at the center by the arc of a sector is 94.00°, the area of the sector is

(i)

110.69 sq.cm
(ii)

155.69 sq.cm
(iii)

138.69 sq.cm
(iv)

152.69 sq.cm
(v)

132.69 sq.cm

Question 5

5.

Find the area of the shaded region

(i)

125.71 sq.cm
(ii)

97.71 sq.cm
(iii)

129.71 sq.cm
(iv)

122.71 sq.cm
(v)

148.71 sq.cm

Question 6

6.

The diameters of the circle are

(i)

HJ
(ii)

KG

,

KH

,

KI

,

KJ

,

HJ
(iii)

GH

,

HI

,

IJ

,

JG

,

HJ
(iv)

KG

,

KH

,

KI

,

KJ
(v)

GH

,

HI

,

IJ

,

JG

Question 7

7.

If circumference of the circle is 44.00 cm, the area of the semicircle is

(i)

77.00 sq.cm
(ii)

82.00 sq.cm
(iii)

72.00 sq.cm
(iv)

80.00 sq.cm
(v)

74.00 sq.cm

Question 8

8.

The minor arc of the circle is

(i)

KFIGK
(ii)

FIG
(iii)

FIGJF
(iv)

FHG
(v)

KFHGK

Question 9

9.

If the radius of a circle is 15.00 cm and the perimeter of a sector is 62.22 cm, the length of the arc of the sector is

(i)

37.22 cm
(ii)

32.22 cm
(iii)

35.22 cm
(iv)

27.22 cm
(v)

29.22 cm

Question 10

10.

The minor segment of the circle is

(i)

NIKJN
(ii)

ILJ
(iii)

IKJMI
(iv)

IKJ
(v)

NILJN

Question 11

11.

If area of the circle is 113.14 sq.cm, the circumference of the circle is

(i)

32.71 cm
(ii)

40.71 cm
(iii)

34.71 cm
(iv)

42.71 cm
(v)

37.71 cm

Question 12

12.

If area of the circle is 314.29 sq.cm, the area of the semicircle is

(i)

175.14 sq.cm
(ii)

170.14 sq.cm
(iii)

155.14 sq.cm
(iv)

157.14 sq.cm
(v)

133.14 sq.cm

Question 13

13.

If the length of the arc of a sector is 30.56 cm and the area of the circle is 616.00 sq.cm, the perimeter of the circle is

(i)

91.00 cm
(ii)

83.00 cm
(iii)

85.00 cm
(iv)

93.00 cm
(v)

88.00 cm

Question 14

14.

If the radius of a circle is 15.00 cm and the perimeter of a sector is 49.64 cm, the area of the sector is

(i)

124.32 sq.cm
(ii)

165.32 sq.cm
(iii)

132.32 sq.cm
(iv)

164.32 sq.cm
(v)

147.32 sq.cm

Question 15

15.

In the given figure, d = 15.00 cm is the diameter of the semi-circles. Find the area of the shaded region

(i)

365.57 sq.cm
(ii)

353.57 sq.cm
(iii)

368.57 sq.cm
(iv)

350.57 sq.cm
(v)

337.57 sq.cm

Question 16

16.

In the given figure, the radius of the circle is 15 cm. Find the area of the major sector

(i)

503.36 sq.cm
(ii)

536.36 sq.cm
(iii)

555.36 sq.cm
(iv)

514.36 sq.cm
(v)

530.36 sq.cm

Question 17

17.

If the radius of a circle is 10.00 cm and the length of the arc of a sector is 28.99 cm, the angle subtended at the center by the arc of the sector is

(i)

139.00°
(ii)

166.00°
(iii)

192.00°
(iv)

168.00°
(v)

153.00°

Question 18

18.

The minor sector of the circle is

(i)

ADBEA
(ii)

FADBF
(iii)

ADB
(iv)

FACBF
(v)

ACB

Question 19

19.

In the below figure, BCPA is a quadrant of a circle. BC = 11.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region