EduSahara™ Worksheet

Question 1

1.

If the area of a sector of a circle is 57.04 sq.cm and the length of the arc of the sector is 10.37 cm, the perimeter of the sector is

(i)

35.37 cm
(ii)

32.37 cm
(iii)

29.37 cm
(iv)

27.37 cm
(v)

37.37 cm

Question 2

2.

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

(i)

6.00 cm
(ii)

4.00 cm
(iii)

5.00 cm
(iv)

7.00 cm
(v)

8.00 cm

Question 3

3.

The given figure consists of two quarter circles each of radius 10.00 cm and four semi-circles each of radius 5.00 cm. Find the area of the shaded region

(i)

140.14 sq.cm
(ii)

131.14 sq.cm
(iii)

157.14 sq.cm
(iv)

159.14 sq.cm
(v)

172.14 sq.cm

Question 4

4.

If the length of the arc of a sector is 34.50 cm and the area of the circle is 531.14 sq.cm, the area of the sector is

(i)

211.26 sq.cm
(ii)

218.26 sq.cm
(iii)

224.26 sq.cm
(iv)

237.26 sq.cm
(v)

238.26 sq.cm

Question 5

5.

If the radius of a circle is 15.00 cm and the length of the arc of a sector is 18.86 cm, the area of the sector is

(i)

141.43 sq.cm
(ii)

123.43 sq.cm
(iii)

119.43 sq.cm
(iv)

156.43 sq.cm
(v)

144.43 sq.cm

Question 6

6.

If the area of a sector of a circle is 68.44 sq.cm and the angle subtended at the center by the arc of the sector is 40.00°, the perimeter of the circle is

(i)

83.00 cm
(ii)

85.00 cm
(iii)

88.00 cm
(iv)

93.00 cm
(v)

91.00 cm

Question 7

7.

If the radius of a circle is 11.00 cm and the area of a sector is 176.41 sq.cm, the angle subtended at the center by the arc of the sector is

(i)

167.00°
(ii)

185.00°
(iii)

161.00°
(iv)

152.00°
(v)

184.00°

Question 8

8.

In the given figure, ABCD is a square with side 11.00 cm. Find the area of the shaded region

(i)

66.14 sq.cm
(ii)

74.14 sq.cm
(iii)

64.14 sq.cm
(iv)

72.14 sq.cm
(v)

69.14 sq.cm

Question 9

9.

If the radius of a circle is 15.00 cm and the area of a sector is 147.32 sq.cm, the length of the arc of the sector is

(i)

14.64 cm
(ii)

16.64 cm
(iii)

19.64 cm
(iv)

24.64 cm
(v)

22.64 cm

Question 10

10.

If the length of the arc of a sector is 20.43 cm and the perimeter of the circle is 62.86 cm, the angle subtended at the center by the arc of the sector is

(i)

113.00°
(ii)

117.00°
(iii)

102.00°
(iv)

120.00°
(v)

133.00°

Question 11

11.

If the area of a sector of a circle is 48.89 sq.cm and the angle subtended at the center by the arc of the sector is 56.00°, the area of the circle is

(i)

319.29 sq.cm
(ii)

327.29 sq.cm
(iii)

296.29 sq.cm
(iv)

314.29 sq.cm

Question 12

12.

If the area of a sector of a circle is 72.46 sq.cm and the angle subtended at the center by the arc of the sector is 83.00°, the radius of the circle is

(i)

5.00 cm
(ii)

10.00 cm
(iii)

13.00 cm
(iv)

15.00 cm
(v)

7.00 cm

Question 13

13.

The given figure consists of four small semi-circles of equal radii and two big semi-circles of equal radii. The radius of each big semi-circle is 8.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region

(i)

216.14 sq.cm
(ii)

218.14 sq.cm
(iii)

179.14 sq.cm
(iv)

201.14 sq.cm
(v)

197.14 sq.cm

Question 14

14.

If the length of the arc of a sector is 20.32 cm and the area of the circle is 452.57 sq.cm, the angle subtended at the center by the arc of the sector is

(i)

100.00°
(ii)

94.00°
(iii)

102.00°
(iv)

92.00°
(v)

97.00°

Question 15

15.

If area of the circle is 201.14 sq.cm, the perimeter of the semicircle is

(i)

41.14 cm
(ii)

38.14 cm
(iii)

46.14 cm
(iv)

44.14 cm
(v)

36.14 cm

Question 16

16.

If the area of a sector of a circle is 46.27 sq.cm and the length of the arc of the sector is 9.25 cm, the radius of the circle is

(i)

7.00 cm
(ii)

13.00 cm
(iii)

5.00 cm
(iv)

15.00 cm
(v)

10.00 cm

Question 17

17.

The major sector of the circle is

(i)

ADBEA
(ii)

ADB
(iii)

ACB
(iv)

FADBF
(v)

FACBF

Question 18

18.

In the given figure, the circle circumscribes a rectangle with sides 20.00 cm and 19.00 cm. Find the area of the remaining portion other than the rectangle

(i)

217.93 sq.cm
(ii)

203.93 sq.cm
(iii)

210.93 sq.cm
(iv)

235.93 sq.cm
(v)

239.93 sq.cm

Question 19

19.

If the radius of a circle is 14.00 cm and the angle subtended at the center by the arc of a sector is 64.00°, the length of the arc of the sector is

(i)

15.64 cm
(ii)

10.64 cm
(iii)

12.64 cm
(iv)

20.64 cm
(v)

18.64 cm

Question 20

20.

If the area of a sector of a circle is 71.87 sq.cm and the area of the circle is 616.00 sq.cm, the angle subtended at the center by the arc of the sector is

(i)

39.00°
(ii)

47.00°
(iii)

45.00°
(iv)

37.00°
(v)

42.00°

Question 21

21.

If diameter of the circle is 18.00 cm, the area of the circle is

(i)

280.57 sq.cm
(ii)

254.57 sq.cm
(iii)

231.57 sq.cm
(iv)

272.57 sq.cm
(v)

246.57 sq.cm

Question 22

22.

If the radius of a circle is 11.00 cm and the length of the arc of a sector is 6.34 cm, the perimeter of the sector is

(i)

25.34 cm
(ii)

23.34 cm
(iii)

28.34 cm
(iv)

31.34 cm
(v)

33.34 cm

Question 23

23.

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

(i)

65.50 sq.cm
(ii)

57.50 sq.cm
(iii)

55.50 sq.cm
(iv)

60.50 sq.cm
(v)

63.50 sq.cm

Question 24

24.

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

(i)

261.21 sq.cm
(ii)

280.21 sq.cm
(iii)

285.21 sq.cm
(iv)

297.21 sq.cm

Question 25

25.

If the length of the arc of a sector is 9.08 cm and the angle subtended at the center by the arc of the sector is 40.00°, the perimeter of the circle is

(i)

84.71 cm
(ii)

76.71 cm
(iii)

78.71 cm
(iv)

81.71 cm
(v)

86.71 cm

Assignment Key