EduSahara™ Worksheet

Question 1

1.

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

(i)

113.14 sq.cm
(ii)

119.14 sq.cm
(iii)

139.14 sq.cm
(iv)

96.14 sq.cm
(v)

105.14 sq.cm

Question 2

2.

If the area of a sector of a circle is 65.48 sq.cm and the area of the circle is 314.29 sq.cm, the radius of the circle is

(i)

13.00 cm
(ii)

15.00 cm
(iii)

10.00 cm
(iv)

5.00 cm
(v)

7.00 cm

Question 3

3.

If the length of the arc of a sector is 20.17 cm and the angle subtended at the center by the arc of the sector is 105.00°, the perimeter of the sector is

(i)

39.17 cm
(ii)

37.17 cm
(iii)

47.17 cm
(iv)

42.17 cm
(v)

45.17 cm

Question 4

4.

If the radius of a circle is 15.00 cm and the area of a sector is 284.82 sq.cm, the perimeter of the sector is

(i)

67.98 cm
(ii)

72.98 cm
(iii)

70.98 cm
(iv)

62.98 cm
(v)

64.98 cm

Question 5

5.

If the area of a sector of a circle is 108.81 sq.cm and the angle subtended at the center by the arc of the sector is 103.00°, the perimeter of the circle is

(i)

69.14 cm
(ii)

72.14 cm
(iii)

74.14 cm
(iv)

66.14 cm
(v)

64.14 cm

Question 6

6.

If the area of a sector of a circle is 179.58 sq.cm and the area of the circle is 380.29 sq.cm, the angle subtended at the center by the arc of the sector is

(i)

170.00°
(ii)

156.00°
(iii)

187.00°
(iv)

188.00°
(v)

143.00°

Question 7

7.

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

(i)

42.71 cm
(ii)

40.71 cm
(iii)

34.71 cm
(iv)

37.71 cm
(v)

32.71 cm

Question 8

8.

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

(i)

12.00 cm
(ii)

15.00 cm
(iii)

7.00 cm
(iv)

17.00 cm
(v)

9.00 cm

Question 9

9.

If the area of a sector of a circle is 168.19 sq.cm and the length of the arc of the sector is 25.87 cm, the area of the circle is

(i)

544.14 sq.cm
(ii)

549.14 sq.cm
(iii)

524.14 sq.cm
(iv)

531.14 sq.cm
(v)

506.14 sq.cm

Question 10

10.

If the area of a sector of a circle is 243.44 sq.cm and the length of the arc of the sector is 37.45 cm, the angle subtended at the center by the arc of the sector is

(i)

165.00°
(ii)

192.00°
(iii)

151.00°
(iv)

167.00°

Question 11

11.

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

(i)

36.14 cm
(ii)

38.14 cm
(iii)

44.14 cm
(iv)

41.14 cm
(v)

46.14 cm

Question 12

12.

Find the area of the shaded region

(i)

325.43 sq.cm
(ii)

324.43 sq.cm
(iii)

366.43 sq.cm
(iv)

339.43 sq.cm
(v)

352.43 sq.cm

Question 13

13.

In the given figure, BC = 7 cm and AB = 9 cm. Find the perimeter of the shaded region

(i)

66.24 cm
(ii)

63.24 cm
(iii)

58.24 cm
(iv)

68.24 cm
(v)

60.24 cm

Question 14

14.

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 4.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region

(i)

45.29 sq.cm
(ii)

55.29 sq.cm
(iii)

50.29 sq.cm
(iv)

47.29 sq.cm
(v)

53.29 sq.cm

Question 15

15.

If the area of the inner circle of the ring is 113.14 sq.cm and area of outer circle is 201.14 sq.cm, the area of the ring is

(i)

85.00 sq.cm
(ii)

93.00 sq.cm
(iii)

88.00 sq.cm
(iv)

83.00 sq.cm
(v)

91.00 sq.cm

Question 16

16.

In the given figure, arcs of two concentric circles of radii 15.00 cm and 4.50 cm are drawn with center O. If ∠GOH = 40°, find the area of the shaded region

(i)

68.50 sq.cm
(ii)

76.50 sq.cm
(iii)

74.50 sq.cm
(iv)

66.50 sq.cm
(v)

71.50 sq.cm

Question 17

17.

If the length of the arc of a sector is 38.76 cm and the area of the circle is 707.14 sq.cm, the radius of the circle is

(i)

12.00 cm
(ii)

10.00 cm
(iii)

15.00 cm
(iv)

20.00 cm
(v)

18.00 cm

Question 18

18.

If the inner radius of the ring is 5.00 cm and area of the ring is 176.00 sq.cm, the width of the ring is

(i)

3.00 cm
(ii)

4.00 cm
(iii)

6.00 cm
(iv)

5.00 cm
(v)

2.00 cm

Question 19

19.

If the width of the ring is 2.00 cm and inner radius is 6.00 cm, the outer circle radius is

(i)

8.00 cm
(ii)

10.00 cm
(iii)

7.00 cm
(iv)

9.00 cm
(v)

6.00 cm

Question 20

20.

If the length of the arc of a sector is 21.37 cm and the angle subtended at the center by the arc of the sector is 102.00°, the area of the sector is

(i)

104.23 sq.cm
(ii)

123.23 sq.cm
(iii)

145.23 sq.cm
(iv)

128.23 sq.cm
(v)

140.23 sq.cm

Question 21

21.

If the length of the arc of a sector is 11.79 cm and the angle subtended at the center by the arc of the sector is 45.00°, the area of the circle is

(i)

690.14 sq.cm
(ii)

714.14 sq.cm
(iii)

689.14 sq.cm
(iv)

707.14 sq.cm
(v)

722.14 sq.cm

Question 22

22.

If the radius of a circle is 11.00 cm and the area of a sector is 57.04 sq.cm, the angle subtended at the center by the arc of the sector is

(i)

54.00°
(ii)

59.00°
(iii)

57.00°
(iv)

51.00°
(v)

49.00°

Question 23

23.

In the below figure, AB is the diameter of a circle with center O and OA = 15.00 cm . Find the area of the shaded region

(i)

291.36 sq.cm
(ii)

328.36 sq.cm
(iii)

292.36 sq.cm
(iv)

323.36 sq.cm
(v)

305.36 sq.cm

Question 24

24.

In the given figure, ABCD is a square of side 11.00 cm . At the centre there is a circle with radius 2.75 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.

(i)

56.57 cm
(ii)

51.57 cm
(iii)

53.57 cm
(iv)

59.57 cm
(v)

61.57 cm

Question 25

25.

If the outer radius of the ring is 9.00 cm and area of the ring is 53.43 sq.cm, the outer circle area is

(i)

254.57 sq.cm
(ii)

258.57 sq.cm
(iii)

281.57 sq.cm
(iv)

231.57 sq.cm
(v)

249.57 sq.cm

Assignment Key