EduSahara™ Worksheet

Question 1

1.

If the area of a sector of a circle is 112.62 sq.cm and the angle subtended at the center by the arc of the sector is 129.00°, the radius of the circle is

(i)

5.00 cm
(ii)

15.00 cm
(iii)

7.00 cm
(iv)

13.00 cm
(v)

10.00 cm

Question 2

2.

The given figure consists of two quarter circles each of radius 18.00 cm and four semi-circles each of radius 9.00 cm. Find the area of the shaded region

(i)

509.14 sq.cm
(ii)

494.14 sq.cm
(iii)

492.14 sq.cm
(iv)

527.14 sq.cm

Question 3

3.

If the radius of a circle is 11.00 cm and the perimeter of a sector is 28.15 cm, the perimeter of the circle is

(i)

69.14 cm
(ii)

64.14 cm
(iii)

66.14 cm
(iv)

72.14 cm
(v)

74.14 cm

Question 4

4.

If circumference of the circle is 50.29 cm, the perimeter of the semicircle is

(i)

41.14 cm
(ii)

46.14 cm
(iii)

36.14 cm
(iv)

38.14 cm
(v)

44.14 cm

Question 5

5.

In the given figure, ABCD is a square of side 17.00 cm . At the centre there is a circle with radius 4.25 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.

(i)

160.46 sq.cm
(ii)

148.46 sq.cm
(iii)

182.46 sq.cm
(iv)

201.46 sq.cm
(v)

175.46 sq.cm

Question 6

6.

If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 78.00°, the area of the circle is

(i)

446.57 sq.cm
(ii)

479.57 sq.cm
(iii)

470.57 sq.cm
(iv)

429.57 sq.cm
(v)

452.57 sq.cm

Question 7

7.

If diameter of the circle is 14.00 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.

In the given figure, ABCD is a square with side 14.00 cm. Find the area of the shaded region

(i)

108.00 sq.cm
(ii)

124.00 sq.cm
(iii)

112.00 sq.cm
(iv)

126.00 sq.cm
(v)

85.00 sq.cm

Question 9

9.

In the below figure, AB is the diameter of a circle with center O and OA = 12.00 cm . Find the area of the shaded region

(i)

172.43 sq.cm
(ii)

211.43 sq.cm
(iii)

191.43 sq.cm
(iv)

212.43 sq.cm
(v)

195.43 sq.cm

Question 10

10.

If radius of the circle is 10.00 cm, the area of the circle is

(i)

331.29 sq.cm
(ii)

299.29 sq.cm
(iii)

300.29 sq.cm
(iv)

314.29 sq.cm
(v)

320.29 sq.cm

Question 11

11.

If radius of the circle is 9.00 cm, the diameter of the circle is

(i)

15.00 cm
(ii)

23.00 cm
(iii)

21.00 cm
(iv)

18.00 cm
(v)

13.00 cm

Question 12

12.

If the radius of a circle is 12.00 cm and the length of the arc of a sector is 8.17 cm, the area of the circle is

(i)

435.57 sq.cm
(ii)

480.57 sq.cm
(iii)

446.57 sq.cm
(iv)

452.57 sq.cm
(v)

469.57 sq.cm

Question 13

13.

If the length of the arc of a sector is 19.91 cm and the angle subtended at the center by the arc of the sector is 76.00°, the perimeter of the circle is

(i)

94.29 cm
(ii)

97.29 cm
(iii)

89.29 cm
(iv)

99.29 cm
(v)

91.29 cm

Question 14

14.

If the area of a sector of a circle is 98.06 sq.cm and the area of the circle is 452.57 sq.cm, the radius of the circle is

(i)

15.00 cm
(ii)

17.00 cm
(iii)

9.00 cm
(iv)

7.00 cm
(v)

12.00 cm

Question 15

15.

In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 20 cm. Find the area of the shaded region

(i)

71.44 sq.cm
(ii)

63.44 sq.cm
(iii)

73.44 sq.cm
(iv)

65.44 sq.cm
(v)

68.44 sq.cm

Question 16

16.

The minor sector of the circle is

(i)

BECFB
(ii)

BDC
(iii)

BEC
(iv)

GBDCG
(v)

BDCFB

Question 17

17.

In the below figure, BCPQ is a quadrant of a circle. BC = 13.00 cm and AB = 10 cm . Find the area of the shaded region

(i)

62.78 sq.cm
(ii)

64.78 sq.cm
(iii)

72.78 sq.cm
(iv)

70.78 sq.cm
(v)

67.78 sq.cm

Question 18

18.

If the radius of a circle is 13.00 cm and the length of the arc of a sector is 36.54 cm, the perimeter of the circle is

(i)

81.71 cm
(ii)

86.71 cm
(iii)

76.71 cm
(iv)

78.71 cm
(v)

84.71 cm

Question 19

19.

If circumference of the circle is 50.29 cm, the radius of the circle is

(i)

7.00 cm
(ii)

10.00 cm
(iii)

8.00 cm
(iv)

9.00 cm
(v)

6.00 cm

Question 20

20.

If the radius of a circle is 14.00 cm and the length of the arc of a sector is 30.80 cm, the angle subtended at the center by the arc of the sector is

(i)

122.00°
(ii)

143.00°
(iii)

138.00°
(iv)

110.00°
(v)

126.00°

Question 21

21.

If the radius of a circle is 12.00 cm and the area of a sector is 174.74 sq.cm, the perimeter of the sector is

(i)

50.12 cm
(ii)

56.12 cm
(iii)

58.12 cm
(iv)

48.12 cm
(v)

53.12 cm

Question 22

22.

In the given figure, ABCD is a square of side 15.00 cm and A, B, C, D are the centres of circular arcs, each of radius 7.50 cm. Find the area of the shaded region

(i)

45.21 sq.cm
(ii)

53.21 sq.cm
(iii)

43.21 sq.cm
(iv)

51.21 sq.cm
(v)

48.21 sq.cm

Question 23

23.

If the area of a sector of a circle is 235.71 sq.cm and the length of the arc of the sector is 31.43 cm, the perimeter of the circle is

(i)

91.29 cm
(ii)

99.29 cm
(iii)

97.29 cm
(iv)

89.29 cm
(v)

94.29 cm

Question 24

24.

If the length of the arc of a sector is 14.25 cm and the perimeter of the circle is 75.43 cm, the area of the sector is

(i)

80.49 sq.cm
(ii)

82.49 sq.cm
(iii)

85.49 sq.cm
(iv)

88.49 sq.cm
(v)

90.49 sq.cm

Question 25

25.

If the radius of a circle is 11.00 cm and the angle subtended at the center by the arc of a sector is 67.00°, the length of the arc of the sector is

(i)

7.87 cm
(ii)

12.87 cm
(iii)

9.87 cm
(iv)

17.87 cm
(v)

15.87 cm

Assignment Key