EduSahara™ Worksheet

Question 1

1.

In the given figure ,PQRS is the diameter of the circle of radius 3.00 cm and PQ = QR = RS. Find the perimeter of the shaded region

(i)

18.86 cm
(ii)

23.86 cm
(iii)

13.86 cm
(iv)

15.86 cm
(v)

21.86 cm

Question 2

2.

If the length of the arc of a sector is 14.67 cm and the area of the circle is 707.14 sq.cm, the perimeter of the circle is

(i)

97.29 cm
(ii)

94.29 cm
(iii)

89.29 cm
(iv)

99.29 cm
(v)

91.29 cm

Question 3

3.

If the area of the inner circle of the ring is 201.14 sq.cm and area of outer circle is 314.29 sq.cm, the inner circle area is

(i)

209.14 sq.cm
(ii)

189.14 sq.cm
(iii)

201.14 sq.cm
(iv)

195.14 sq.cm
(v)

224.14 sq.cm

Question 4

4.

If diameter of the circle is 20.00 cm, the area of the circle is

(i)

320.29 sq.cm
(ii)

286.29 sq.cm
(iii)

314.29 sq.cm
(iv)

339.29 sq.cm
(v)

311.29 sq.cm

Question 5

5.

If the inner and outer radii of a ring are 5.00 cm and 8.00 cm respectively, the outer circle area is

(i)

201.14 sq.cm
(ii)

185.14 sq.cm
(iii)

204.14 sq.cm
(iv)

193.14 sq.cm
(v)

216.14 sq.cm

Question 6

6.

In the given figure △ABC is an equilateral triangle whose area is 43.3 sq.cm. With each vertex of the triangle as center, a circle is drawn with radius equal to half the length of the side of the triangle . Find the area of the shaded region

(i)

5.02 sq.cm
(ii)

2.02 sq.cm
(iii)

6.02 sq.cm
(iv)

3.02 sq.cm
(v)

4.02 sq.cm

Question 7

7.

If the outer radius of the ring is 8.00 cm and area of the ring is 88.00 sq.cm, the width of the ring is

(i)

1.00 cm
(ii)

0.00 cm
(iii)

2.00 cm
(iv)

4.00 cm
(v)

3.00 cm

Question 8

8.

If the radius of a circle is 10.00 cm and the angle subtended at the center by the arc of a sector is 152.00°, the perimeter of the circle is

(i)

67.86 cm
(ii)

62.86 cm
(iii)

59.86 cm
(iv)

65.86 cm
(v)

57.86 cm

Question 9

9.

If radius of the circle is 8.00 cm, the area of the semicircle is

(i)

100.57 sq.cm
(ii)

84.57 sq.cm
(iii)

114.57 sq.cm
(iv)

108.57 sq.cm
(v)

95.57 sq.cm

Question 10

10.

If area of the circle is 314.29 sq.cm, the circumference of the circle is

(i)

59.86 cm
(ii)

62.86 cm
(iii)

65.86 cm
(iv)

57.86 cm
(v)

67.86 cm

Question 11

11.

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 width of the ring is

(i)

2.00 cm
(ii)

0.00 cm
(iii)

3.00 cm
(iv)

9.00 cm
(v)

1.00 cm

Question 12

12.

If the inner and outer radii of a ring are 7.00 cm and 8.00 cm respectively, the width of the ring is

(i)

2.00 cm
(ii)

9.00 cm
(iii)

3.00 cm
(iv)

1.00 cm
(v)

0.00 cm

Question 13

13.

If the radius of a circle is 14.00 cm and the perimeter of a sector is 61.49 cm, the length of the arc of the sector is

(i)

33.49 cm
(ii)

30.49 cm
(iii)

28.49 cm
(iv)

36.49 cm
(v)

38.49 cm

Question 14

14.

If the area of a sector of a circle is 204.91 sq.cm and the length of the arc of the sector is 34.15 cm, the perimeter of the sector is

(i)

55.15 cm
(ii)

61.15 cm
(iii)

63.15 cm
(iv)

53.15 cm
(v)

58.15 cm

Question 15

15.

In the given figure ,PQRS is the diameter of the circle of radius 1.50 cm and PQ = QR = RS. Find the area of the shaded region

(i)

4.36 sq.cm
(ii)

1.36 sq.cm
(iii)

0.36 sq.cm
(iv)

3.36 sq.cm
(v)

2.36 sq.cm

Question 16

16.

In the given figure, ABCD is a square of side 15.00 cm . At the centre there is a circle with radius 3.75 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.

(i)

82.14 cm
(ii)

72.14 cm
(iii)

74.14 cm
(iv)

77.14 cm
(v)

80.14 cm

Question 17

17.

If the area of a sector of a circle is 191.64 sq.cm and the angle subtended at the center by the arc of the sector is 112.00°, the length of the arc of the sector is

(i)

30.38 cm
(ii)

24.38 cm
(iii)

22.38 cm
(iv)

32.38 cm
(v)

27.38 cm

Question 18

18.

If the radius of a circle is 14.00 cm and the angle subtended at the center by the arc of a sector is 92.00°, the length of the arc of the sector is

(i)

27.49 cm
(ii)

17.49 cm
(iii)

19.49 cm
(iv)

25.49 cm
(v)

22.49 cm

Question 19

19.

Find the area of the shaded region

(i)

104.43 sq.cm
(ii)

101.43 sq.cm
(iii)

119.43 sq.cm
(iv)

133.43 sq.cm
(v)

146.43 sq.cm

Question 20

20.

In the given figure, ABCD is a square of side 15.00 cm . At the centre there is a circle with radius 3.75 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.

(i)

136.61 sq.cm
(ii)

144.61 sq.cm
(iii)

120.61 sq.cm
(iv)

152.61 sq.cm
(v)

123.61 sq.cm

Question 21

21.

If the radius of a circle is 10.00 cm and the perimeter of a sector is 31.35 cm, the angle subtended at the center by the arc of the sector is

(i)

62.00°
(ii)

65.00°
(iii)

60.00°
(iv)

70.00°
(v)

68.00°

Question 22

22.

If the width of the ring is 1.00 cm and inner radius is 9.00 cm, the outer circle radius is

(i)

15.00 cm
(ii)

7.00 cm
(iii)

10.00 cm
(iv)

13.00 cm
(v)

5.00 cm

Question 23

23.

If the width of the ring is 2.00 cm and inner radius is 8.00 cm, the outer circle area is

(i)

314.29 sq.cm
(ii)

342.29 sq.cm
(iii)

299.29 sq.cm
(iv)

327.29 sq.cm
(v)

290.29 sq.cm

Question 24

24.

If the radius of a circle is 14.00 cm and the area of a sector is 97.53 sq.cm, the area of the circle is

(i)

628.00 sq.cm
(ii)

599.00 sq.cm
(iii)

604.00 sq.cm
(iv)

616.00 sq.cm
(v)

622.00 sq.cm

Question 25

25.

In the given figure, ABCD is a square of side 10.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region

(i)

349.71 sq.cm
(ii)

335.71 sq.cm
(iii)

348.71 sq.cm
(iv)

318.71 sq.cm
(v)

330.71 sq.cm

Assignment Key