EduSahara™ Worksheet

Question 1

1.

In the given figure, the width of the circular path is 7.00 m. Find the area of the shaded region

(i)

708.00 sq.m
(ii)

705.00 sq.m
(iii)

720.00 sq.m
(iv)

723.00 sq.m
(v)

691.00 sq.m

Question 2

2.

If the area of a sector of a circle is 55.87 sq.cm and the length of the arc of the sector is 11.18 cm, the radius of the circle is

(i)

7.00 cm
(ii)

5.00 cm
(iii)

15.00 cm
(iv)

10.00 cm
(v)

13.00 cm

Question 3

3.

If the radius of a circle is 11.00 cm and the angle subtended at the center by the arc of a sector is 103.00°, the perimeter of the sector is

(i)

41.78 cm
(ii)

38.78 cm
(iii)

36.78 cm
(iv)

44.78 cm
(v)

46.78 cm

Question 4

4.

If the area of a sector of a circle is 209.94 sq.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)

179.00°
(ii)

151.00°
(iii)

167.00°
(iv)

184.00°

Question 5

5.

If the radius of a circle is 12.00 cm and the perimeter of a sector is 52.91 cm, the area of the sector is

(i)

149.49 sq.cm
(ii)

175.49 sq.cm
(iii)

173.49 sq.cm
(iv)

199.49 sq.cm
(v)

170.49 sq.cm

Question 6

6.

If the area of a sector of a circle is 74.17 sq.cm and the length of the arc of the sector is 12.36 cm, the perimeter of the circle is

(i)

70.43 cm
(ii)

75.43 cm
(iii)

80.43 cm
(iv)

78.43 cm
(v)

72.43 cm

Question 7

7.

If the length of the arc of a sector is 42.43 cm and the angle subtended at the center by the arc of the sector is 162.00°, the radius of the circle is

(i)

18.00 cm
(ii)

15.00 cm
(iii)

10.00 cm
(iv)

12.00 cm
(v)

20.00 cm

Question 8

8.

If the area of the inner circle of the ring is 254.57 sq.cm and area of outer circle is 314.29 sq.cm, the inner circle area is

(i)

254.57 sq.cm
(ii)

258.57 sq.cm
(iii)

252.57 sq.cm
(iv)

272.57 sq.cm
(v)

238.57 sq.cm

Question 9

9.

If the radius of a circle is 15.00 cm and the area of a sector is 210.18 sq.cm, the length of the arc of the sector is

(i)

25.03 cm
(ii)

28.03 cm
(iii)

33.03 cm
(iv)

31.03 cm
(v)

23.03 cm

Question 10

10.

If the radius of a circle is 15.00 cm and the angle subtended at the center by the arc of a sector is 66.00°, the area of the sector is

(i)

129.64 sq.cm
(ii)

122.64 sq.cm
(iii)

156.64 sq.cm
(iv)

117.64 sq.cm
(v)

143.64 sq.cm

Question 11

11.

If the inner radius of the ring is 6.00 cm and area of the ring is 40.86 sq.cm, the width of the ring is

(i)

0.00 cm
(ii)

9.00 cm
(iii)

3.00 cm
(iv)

1.00 cm
(v)

2.00 cm

Question 12

12.

If area of the circle is 154.00 sq.cm, the perimeter of the semicircle is

(i)

31.00 cm
(ii)

36.00 cm
(iii)

41.00 cm
(iv)

39.00 cm
(v)

33.00 cm

Question 13

13.

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

(i)

37.71 cm
(ii)

40.71 cm
(iii)

32.71 cm
(iv)

42.71 cm
(v)

34.71 cm

Question 14

14.

If circumference of the circle is 62.86 cm, the area of the circle is

(i)

314.29 sq.cm
(ii)

286.29 sq.cm
(iii)

299.29 sq.cm
(iv)

327.29 sq.cm
(v)

330.29 sq.cm

Question 15

15.

If the area of a sector of a circle is 38.41 sq.cm and the length of the arc of the sector is 7.68 cm, the perimeter of the sector is

(i)

24.68 cm
(ii)

30.68 cm
(iii)

32.68 cm
(iv)

27.68 cm
(v)

22.68 cm

Question 16

16.

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

(i)

53.57 sq.cm
(ii)

59.57 sq.cm
(iii)

61.57 sq.cm
(iv)

56.57 sq.cm
(v)

51.57 sq.cm

Question 17

17.

If the inner and outer radii of a ring are 7.00 cm and 10.00 cm respectively, the inner circle area is

(i)

154.00 sq.cm
(ii)

166.00 sq.cm
(iii)

181.00 sq.cm
(iv)

126.00 sq.cm
(v)

147.00 sq.cm

Question 18

18.

Find the area of the shaded region

(i)

90.86 sq.cm
(ii)

93.86 sq.cm
(iii)

85.86 sq.cm
(iv)

95.86 sq.cm
(v)

87.86 sq.cm

Question 19

19.

If the radius of a circle is 14.00 cm and the perimeter of a sector is 58.80 cm, the area of the circle is

(i)

621.00 sq.cm
(ii)

616.00 sq.cm
(iii)

643.00 sq.cm
(iv)

603.00 sq.cm
(v)

594.00 sq.cm

Question 20

20.

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

(i)

530.36 sq.cm
(ii)

557.36 sq.cm
(iii)

512.36 sq.cm
(iv)

534.36 sq.cm

Question 21

21.

If the area of the inner circle of the ring is 78.57 sq.cm and area of outer circle is 154.00 sq.cm, the area of the ring is

(i)

80.43 sq.cm
(ii)

78.43 sq.cm
(iii)

70.43 sq.cm
(iv)

72.43 sq.cm
(v)

75.43 sq.cm

Question 22

22.

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

(i)

56.57 sq.cm
(ii)

53.57 sq.cm
(iii)

61.57 sq.cm
(iv)

51.57 sq.cm
(v)

59.57 sq.cm

Question 23

23.

If the length of the arc of a sector is 13.83 cm and the area of the circle is 380.29 sq.cm, the area of the sector is

(i)

81.06 sq.cm
(ii)

73.06 sq.cm
(iii)

79.06 sq.cm
(iv)

76.06 sq.cm
(v)

71.06 sq.cm

Question 24

24.

In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 18 and EB = 5.2 , find the area of the remaining portion

(i)

116.23 sq.cm
(ii)

131.23 sq.cm
(iii)

130.23 sq.cm
(iv)

102.23 sq.cm
(v)

104.23 sq.cm

Question 25

25.

If diameter of the circle is 14.00 cm, the circumference of the circle is

(i)

44.00 cm
(ii)

49.00 cm
(iii)

39.00 cm
(iv)

41.00 cm
(v)

47.00 cm

Assignment Key