EduSahara™ Worksheet

Question 1

1.

If the radius of a circle is 10.00 cm and the angle subtended at the center by the arc of a sector is 119.00°, the perimeter of the sector is

(i)

43.78 cm
(ii)

45.78 cm
(iii)

40.78 cm
(iv)

37.78 cm
(v)

35.78 cm

Question 2

2.

If the area of a sector of a circle is 105.64 sq.cm and the length of the arc of the sector is 19.21 cm, the perimeter of the circle is

(i)

72.14 cm
(ii)

64.14 cm
(iii)

74.14 cm
(iv)

69.14 cm
(v)

66.14 cm

Question 3

3.

If diameter of the circle is 18.00 cm, the perimeter of the semicircle is

(i)

49.29 cm
(ii)

46.29 cm
(iii)

51.29 cm
(iv)

41.29 cm
(v)

43.29 cm

Question 4

4.

If the length of the arc of a sector is 18.23 cm and the angle subtended at the center by the arc of the sector is 87.00°, the radius of the circle is

(i)

17.00 cm
(ii)

9.00 cm
(iii)

15.00 cm
(iv)

12.00 cm
(v)

7.00 cm

Question 5

5.

If the radius of a circle is 14.00 cm and the perimeter of a sector is 46.58 cm, the area of the circle is

(i)

594.00 sq.cm
(ii)

601.00 sq.cm
(iii)

623.00 sq.cm
(iv)

616.00 sq.cm
(v)

630.00 sq.cm

Question 6

6.

If the radius of a circle is 11.00 cm and the length of the arc of a sector is 7.11 cm, the area of the sector is

(i)

39.09 sq.cm
(ii)

44.09 sq.cm
(iii)

34.09 sq.cm
(iv)

36.09 sq.cm
(v)

42.09 sq.cm

Question 7

7.

If area of the circle is 154.00 sq.cm, the circumference of the circle is

(i)

44.00 cm
(ii)

39.00 cm
(iii)

49.00 cm
(iv)

41.00 cm
(v)

47.00 cm

Question 8

8.

The major arc of the circle is

(i)

KFHGK
(ii)

KFIGK
(iii)

FIG
(iv)

FHG
(v)

FHGJF

Question 9

9.

Find the area of the shaded region

(i)

300.86 sq.cm
(ii)

266.86 sq.cm
(iii)

258.86 sq.cm
(iv)

282.86 sq.cm
(v)

287.86 sq.cm

Question 10

10.

In the below figure, BCPA is a quadrant of a circle. BC = 17.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region

(i)

127.50 sq.cm
(ii)

141.50 sq.cm
(iii)

144.50 sq.cm
(iv)

159.50 sq.cm
(v)

168.50 sq.cm

Question 11

11.

If the area of a sector of a circle is 132.00 sq.cm and the length of the arc of the sector is 22.00 cm, the angle subtended at the center by the arc of the sector is

(i)

109.00°
(ii)

100.00°
(iii)

133.00°
(iv)

87.00°
(v)

105.00°

Question 12

12.

If the radius of a circle is 10.00 cm and the length of the arc of a sector is 9.08 cm, the angle subtended at the center by the arc of the sector is

(i)

55.00°
(ii)

49.00°
(iii)

52.00°
(iv)

57.00°
(v)

47.00°

Question 13

13.

In the given figure, BC = 12 cm and AB = 5 cm. Find the perimeter of the shaded region

(i)

67.86 cm
(ii)

73.86 cm
(iii)

70.86 cm
(iv)

75.86 cm
(v)

65.86 cm

Question 14

14.

If radius of the circle is 6.00 cm, the area of the circle is

(i)

99.14 sq.cm
(ii)

141.14 sq.cm
(iii)

96.14 sq.cm
(iv)

113.14 sq.cm
(v)

117.14 sq.cm

Question 15

15.

In the given figure, the radius of the circle is 6 cm. Find the area of the minor sector

(i)

33.28 sq.cm
(ii)

31.29 sq.cm
(iii)

28.29 sq.cm
(iv)

25.29 sq.cm
(v)

23.29 sq.cm

Question 16

16.

If diameter of the circle is 12.00 cm, the circumference of the circle is

(i)

32.71 cm
(ii)

40.71 cm
(iii)

37.71 cm
(iv)

34.71 cm
(v)

42.71 cm

Question 17

17.

If the radius of a circle is 10.00 cm and the area of a sector is 47.14 sq.cm, the angle subtended at the center by the arc of the sector is

(i)

54.00°
(ii)

59.00°
(iii)

51.00°
(iv)

57.00°
(v)

49.00°

Question 18

18.

In the given figure, d = 16.00 cm is the diameter of the semi-circles. Find the area of the shaded region

(i)

394.29 sq.cm
(ii)

376.29 sq.cm
(iii)

402.29 sq.cm
(iv)

417.29 sq.cm
(v)

408.29 sq.cm

Question 19

19.

In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 21 cm. Find the area of the shaded region

(i)

75.46 sq.cm
(ii)

80.46 sq.cm
(iii)

70.46 sq.cm
(iv)

72.46 sq.cm
(v)

78.46 sq.cm

Question 20

20.

In the given figure, the radius of the circle is 7 cm. Find the area of the major sector

(i)

92.50 sq.cm
(ii)

130.50 sq.cm
(iii)

127.50 sq.cm
(iv)

109.50 sq.cm
(v)

115.50 sq.cm

Question 21

21.

In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 19 and EB = 4.8 , find the area of the remaining portion

(i)

117.96 sq.cm
(ii)

122.96 sq.cm
(iii)

94.96 sq.cm
(iv)

134.96 sq.cm
(v)

138.96 sq.cm

Question 22

22.

In the given figure, find the area of the shaded region

(i)

250.71 sq.cm
(ii)

231.71 sq.cm
(iii)

251.71 sq.cm
(iv)

222.71 sq.cm
(v)

235.71 sq.cm

Question 23

23.

The diameters of the circle are

(i)

FH
(ii)

DE

,

EF

,

FG

,

GH

,

HD

(iii)

ID

,

IE

,

IF

,

IG

,

IH

,

FH

(iv)

ID

,

IE

,

IF

,

IG

,

IH
(v)

DE

,

EF

,

FG

,

GH

,

HD

,

FH

Question 24

24.

The minor sector of the circle is

(i)

LGIHL
(ii)

LGJHL
(iii)

GIHKG
(iv)

GJH
(v)

GIH

Question 25

25.

If the length of the arc of a sector is 8.38 cm and the angle subtended at the center by the arc of the sector is 32.00°, the area of the circle is

(i)

707.14 sq.cm
(ii)

694.14 sq.cm
(iii)

692.14 sq.cm
(iv)

713.14 sq.cm
(v)

729.14 sq.cm

Assignment Key