EduSahara™ Worksheet

Question 1

1.

If the area of a sector of a circle is 162.56 sq.cm and the angle subtended at the center by the arc of the sector is 95.00°, the perimeter of the sector is

(i)

46.22 cm
(ii)

48.22 cm
(iii)

54.22 cm
(iv)

56.22 cm
(v)

51.22 cm

Question 2

2.

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

(i)

10.00 cm
(ii)

8.00 cm
(iii)

9.00 cm
(iv)

7.00 cm
(v)

6.00 cm

Question 3

3.

In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 24 cm. Find the area of the shaded region

(i)

93.56 sq.cm
(ii)

101.56 sq.cm
(iii)

103.56 sq.cm
(iv)

95.56 sq.cm
(v)

98.56 sq.cm

Question 4

4.

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)

175.46 sq.cm
(ii)

161.46 sq.cm
(iii)

203.46 sq.cm
(iv)

187.46 sq.cm
(v)

158.46 sq.cm

Question 5

5.

In the given figure, BC = 4.00 cm. Find the area of the shaded region

(i)

162.57 sq.cm
(ii)

188.57 sq.cm
(iii)

200.57 sq.cm
(iv)

216.57 sq.cm
(v)

173.57 sq.cm

Question 6

6.

If diameter of the circle is 16.00 cm, the circumference of the circle is

(i)

45.29 cm
(ii)

55.29 cm
(iii)

53.29 cm
(iv)

47.29 cm
(v)

50.29 cm

Question 7

7.

If the area of a sector of a circle is 178.53 sq.cm and the area of the circle is 380.29 sq.cm, the perimeter of the sector is

(i)

49.46 cm
(ii)

57.46 cm
(iii)

51.46 cm
(iv)

54.46 cm
(v)

59.46 cm

Question 8

8.

If the length of the arc of a sector is 22.28 cm and the angle subtended at the center by the arc of the sector is 116.00°, the area of the circle is

(i)

380.29 sq.cm
(ii)

353.29 sq.cm
(iii)

404.29 sq.cm
(iv)

392.29 sq.cm
(v)

364.29 sq.cm

Question 9

9.

If the radius of a circle is 14.00 cm and the angle subtended at the center by the arc of a sector is 136.00°, the perimeter of the circle is

(i)

91.00 cm
(ii)

88.00 cm
(iii)

83.00 cm
(iv)

85.00 cm
(v)

93.00 cm

Question 10

10.

If the length of the arc of a sector is 36.77 cm and the angle subtended at the center by the arc of the sector is 162.00°, the radius of the circle is

(i)

8.00 cm
(ii)

16.00 cm
(iii)

10.00 cm
(iv)

18.00 cm
(v)

13.00 cm

Question 11

11.

If the length of the arc of a sector is 33.73 cm and the perimeter of the circle is 75.43 cm, the area of the circle is

(i)

437.57 sq.cm
(ii)

452.57 sq.cm
(iii)

434.57 sq.cm
(iv)

460.57 sq.cm
(v)

465.57 sq.cm

Question 12

12.

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

(i)

454.00 sq.cm
(ii)

446.00 sq.cm
(iii)

478.00 sq.cm
(iv)

462.00 sq.cm
(v)

475.00 sq.cm

Question 13

13.

Find the area of the shaded region

(i)

51.21 sq.cm
(ii)

53.21 sq.cm
(iii)

48.21 sq.cm
(iv)

43.21 sq.cm
(v)

45.21 sq.cm

Question 14

14.

In the below figure, two circles with centers O and A touch internally at B. If OB = 17.00 cm and OA = 10.2 cm, find the area of the unshaded region

(i)

762.96 sq.cm
(ii)

776.96 sq.cm
(iii)

777.96 sq.cm
(iv)

748.96 sq.cm
(v)

759.96 sq.cm

Question 15

15.

If area of the circle is 254.57 sq.cm, the diameter of the circle is

(i)

18.00 cm
(ii)

13.00 cm
(iii)

23.00 cm
(iv)

21.00 cm
(v)

15.00 cm

Question 16

16.

If the inner radius of the ring is 7.00 cm and area of the ring is 47.14 sq.cm, the outer circle radius is

(i)

6.00 cm
(ii)

9.00 cm
(iii)

8.00 cm
(iv)

7.00 cm
(v)

10.00 cm

Question 17

17.

If the length of the arc of a sector is 17.48 cm and the angle subtended at the center by the arc of the sector is 77.00°, the area of the sector is

(i)

106.60 sq.cm
(ii)

99.60 sq.cm
(iii)

119.60 sq.cm
(iv)

135.60 sq.cm
(v)

113.60 sq.cm

Question 18

18.

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

(i)

254.57 sq.cm
(ii)

247.57 sq.cm
(iii)

239.57 sq.cm
(iv)

272.57 sq.cm
(v)

267.57 sq.cm

Question 19

19.

If the inner radius of the ring is 8.00 cm and area of the ring is 53.43 sq.cm, the inner circle area is

(i)

216.14 sq.cm
(ii)

219.14 sq.cm
(iii)

201.14 sq.cm
(iv)

188.14 sq.cm
(v)

189.14 sq.cm

Question 20

20.

In the given figure, the width of the circular path is 8.00 m. Find the area of the shaded region

(i)

894.00 sq.m
(ii)

1164.00 sq.m
(iii)

1024.00 sq.m
(iv)

844.00 sq.m
(v)

1284.00 sq.m

Question 21

21.

If the radius of a circle is 12.00 cm and the area of a sector is 124.46 sq.cm, the perimeter of the circle is

(i)

70.43 cm
(ii)

75.43 cm
(iii)

72.43 cm
(iv)

80.43 cm
(v)

78.43 cm

Question 22

22.

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

(i)

53.57 sq.cm
(ii)

56.57 sq.cm
(iii)

59.57 sq.cm
(iv)

51.57 sq.cm
(v)

61.57 sq.cm

Question 23

23.

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

(i)

46.14 cm
(ii)

44.14 cm
(iii)

38.14 cm
(iv)

41.14 cm
(v)

36.14 cm

Question 24

24.

In the given figure ,PQRS is the diameter of the circle of radius 12.00 cm and PQ = QR = RS. Find the area of the shaded region

(i)

301.71 sq.cm
(ii)

285.71 sq.cm
(iii)

323.71 sq.cm
(iv)

318.71 sq.cm

Question 25

25.

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)

50.29 sq.cm
(ii)

53.29 sq.cm
(iii)

55.29 sq.cm
(iv)

47.29 sq.cm
(v)

45.29 sq.cm

Assignment Key