EduSahara™ Worksheet

Question 1

1.

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

(i)

143.29 sq.cm
(ii)

188.29 sq.cm
(iii)

174.29 sq.cm
(iv)

135.29 sq.cm
(v)

160.29 sq.cm

Question 2

2.

If the width of the ring is 1.00 cm and outer radius is 6.00 cm, the area of the ring is

(i)

34.57 sq.cm
(ii)

29.57 sq.cm
(iii)

31.57 sq.cm
(iv)

37.57 sq.cm
(v)

39.57 sq.cm

Question 3

3.

If area of the circle is 201.14 sq.cm, the diameter of the circle is

(i)

13.00 cm
(ii)

19.00 cm
(iii)

11.00 cm
(iv)

16.00 cm
(v)

21.00 cm

Question 4

4.

In the given figure, arcs of two concentric circles of radii 10.00 cm and 4.00 cm are drawn with center O. If ∠JOK = 100°, find the area of the shaded region

(i)

76.33 sq.cm
(ii)

78.33 sq.cm
(iii)

73.33 sq.cm
(iv)

68.33 sq.cm
(v)

70.33 sq.cm

Question 5

5.

If diameter of the circle is 12.00 cm, the perimeter of the semicircle is

(i)

25.86 cm
(ii)

33.86 cm
(iii)

35.86 cm
(iv)

27.86 cm
(v)

30.86 cm

Question 6

6.

If area of the circle is 154.00 sq.cm, the radius of the circle is

(i)

7.00 cm
(ii)

9.00 cm
(iii)

6.00 cm
(iv)

8.00 cm
(v)

5.00 cm

Question 7

7.

If the radius of a circle is 15.00 cm and the area of a sector is 212.14 sq.cm, the length of the arc of the sector is

(i)

31.29 cm
(ii)

33.29 cm
(iii)

23.29 cm
(iv)

28.29 cm
(v)

25.29 cm

Question 8

8.

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

(i)

3.00 cm
(ii)

2.00 cm
(iii)

5.00 cm
(iv)

4.00 cm
(v)

1.00 cm

Question 9

9.

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

(i)

100.57 sq.cm
(ii)

94.57 sq.cm
(iii)

115.57 sq.cm
(iv)

118.57 sq.cm
(v)

73.57 sq.cm

Question 10

10.

In the given figure, BC = 15 cm and AB = 11 cm. Find the area of the shaded region

(i)

177.36 sq.cm
(ii)

204.36 sq.cm
(iii)

189.36 sq.cm
(iv)

172.36 sq.cm
(v)

206.36 sq.cm

Question 11

11.

In the given figure, ABCD is a square of side 7.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region

(i)

181.50 sq.cm
(ii)

168.50 sq.cm
(iii)

164.50 sq.cm
(iv)

161.50 sq.cm
(v)

146.50 sq.cm

Question 12

12.

In the given figure, the circle circumscribes a rectangle with sides 20.00 cm and 17.00 cm. Find the area of the remaining portion other than the rectangle

(i)

218.36 sq.cm
(ii)

189.36 sq.cm
(iii)

201.36 sq.cm
(iv)

213.36 sq.cm
(v)

187.36 sq.cm

Question 13

13.

If the radius of a circle is 15.00 cm and the length of the arc of a sector is 7.86 cm, the perimeter of the sector is

(i)

42.86 cm
(ii)

32.86 cm
(iii)

34.86 cm
(iv)

37.86 cm
(v)

40.86 cm

Question 14

14.

If the width of the ring is 4.00 cm and outer radius is 9.00 cm, the inner circle radius is

(i)

3.00 cm
(ii)

4.00 cm
(iii)

7.00 cm
(iv)

5.00 cm
(v)

6.00 cm

Question 15

15.

If the width of the ring is 2.00 cm and inner radius is 7.00 cm, the inner circle area is

(i)

159.00 sq.cm
(ii)

154.00 sq.cm
(iii)

147.00 sq.cm
(iv)

126.00 sq.cm
(v)

181.00 sq.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)

10.00 cm
(ii)

6.00 cm
(iii)

9.00 cm
(iv)

7.00 cm
(v)

8.00 cm

Question 17

17.

In the given figure, the width of the circular path is 5.00 m. Find the area of the shaded region

(i)

461.71 sq.m
(ii)

490.71 sq.m
(iii)

475.71 sq.m
(iv)

463.71 sq.m
(v)

487.71 sq.m

Question 18

18.

If the length of the arc of a sector is 32.74 cm and the area of the circle is 707.14 sq.cm, the angle subtended at the center by the arc of the sector is

(i)

107.00°
(ii)

141.00°
(iii)

125.00°
(iv)

123.00°
(v)

149.00°

Question 19

19.

If the area of the inner circle of the ring is 154.00 sq.cm and area of outer circle is 201.14 sq.cm, the outer circle radius is

(i)

9.00 cm
(ii)

7.00 cm
(iii)

6.00 cm
(iv)

8.00 cm
(v)

10.00 cm

Question 20

20.

If the outer radius of the ring is 10.00 cm and area of the ring is 160.29 sq.cm, the width of the ring is

(i)

4.00 cm
(ii)

2.00 cm
(iii)

5.00 cm
(iv)

1.00 cm
(v)

3.00 cm

Question 21

21.

In the given figure, ABCD is a square of side 18.00 cm . At the centre there is a circle with radius 4.50 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.

(i)

212.71 sq.cm
(ii)

218.71 sq.cm
(iii)

196.71 sq.cm
(iv)

183.71 sq.cm
(v)

191.71 sq.cm

Question 22

22.

If the radius of a circle is 13.00 cm and the perimeter of a sector is 40.07 cm, the area of the circle is

(i)

538.14 sq.cm
(ii)

528.14 sq.cm
(iii)

547.14 sq.cm
(iv)

506.14 sq.cm
(v)

531.14 sq.cm

Question 23

23.

In the given figure, ABCD is a square of side 13.00 cm . At the centre there is a circle with radius 3.25 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.

(i)

63.86 cm
(ii)

61.86 cm
(iii)

71.86 cm
(iv)

69.86 cm
(v)

66.86 cm

Question 24

24.

In the given figure, d = 14.00 cm is the diameter of the semi-circles. Find the area of the shaded region

(i)

303.00 sq.cm
(ii)

308.00 sq.cm
(iii)

315.00 sq.cm
(iv)

320.00 sq.cm
(v)

292.00 sq.cm

Question 25

25.

If circumference of the circle is 37.71 cm, the radius of the circle is

(i)

5.00 cm
(ii)

6.00 cm
(iii)

4.00 cm
(iv)

7.00 cm
(v)

8.00 cm

Assignment Key