EduSahara™ Worksheet

Question 1

1.

If area of the circle is 78.57 sq.cm, the diameter of the circle is

(i)

13.00 cm
(ii)

5.00 cm
(iii)

7.00 cm
(iv)

15.00 cm
(v)

10.00 cm

Question 2

2.

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

(i)

53.29 cm
(ii)

50.29 cm
(iii)

55.29 cm
(iv)

45.29 cm
(v)

47.29 cm

Question 3

3.

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

(i)

149.14 sq.cm
(ii)

171.14 sq.cm
(iii)

172.14 sq.cm
(iv)

131.14 sq.cm
(v)

157.14 sq.cm

Question 4

4.

If the length of the arc of a sector is 25.54 cm and the angle subtended at the center by the arc of the sector is 133.00°, the perimeter of the sector is

(i)

44.54 cm
(ii)

52.54 cm
(iii)

47.54 cm
(iv)

50.54 cm
(v)

42.54 cm

Question 5

5.

If the area of the inner circle of the ring is 78.57 sq.cm and area of outer circle is 201.14 sq.cm, the width of the ring is

(i)

4.00 cm
(ii)

3.00 cm
(iii)

2.00 cm
(iv)

5.00 cm
(v)

1.00 cm

Question 6

6.

If the length of the arc of a sector is 28.04 cm and the area of the circle is 380.29 sq.cm, the angle subtended at the center by the arc of the sector is

(i)

150.00°
(ii)

161.00°
(iii)

143.00°
(iv)

129.00°
(v)

146.00°

Question 7

7.

If the length of the arc of a sector is 14.93 cm and the perimeter of the circle is 94.29 cm, the area of the sector is

(i)

108.96 sq.cm
(ii)

113.96 sq.cm
(iii)

133.96 sq.cm
(iv)

85.96 sq.cm
(v)

111.96 sq.cm

Question 8

8.

If the length of the arc of a sector is 16.55 cm and the area of the circle is 452.57 sq.cm, the perimeter of the sector is

(i)

37.55 cm
(ii)

45.55 cm
(iii)

43.55 cm
(iv)

35.55 cm
(v)

40.55 cm

Question 9

9.

If the radius of a circle is 11.00 cm and the area of a sector is 132.05 sq.cm, the perimeter of the circle is

(i)

66.14 cm
(ii)

74.14 cm
(iii)

64.14 cm
(iv)

72.14 cm
(v)

69.14 cm

Question 10

10.

If the width of the ring is 5.00 cm and outer radius is 10.00 cm, the inner circle radius is

(i)

4.00 cm
(ii)

3.00 cm
(iii)

6.00 cm
(iv)

7.00 cm
(v)

5.00 cm

Question 11

11.

If diameter of the circle is 12.00 cm, the area of the circle is

(i)

117.14 sq.cm
(ii)

98.14 sq.cm
(iii)

126.14 sq.cm
(iv)

99.14 sq.cm
(v)

113.14 sq.cm

Question 12

12.

If the radius of a circle is 11.00 cm and the angle subtended at the center by the arc of a sector is 157.00°, the area of the sector is

(i)

187.85 sq.cm
(ii)

172.85 sq.cm
(iii)

159.85 sq.cm
(iv)

165.85 sq.cm
(v)

140.85 sq.cm

Question 13

13.

If the area of a sector of a circle is 123.59 sq.cm and the angle subtended at the center by the arc of the sector is 117.00°, the radius of the circle is

(i)

8.00 cm
(ii)

11.00 cm
(iii)

16.00 cm
(iv)

14.00 cm
(v)

6.00 cm

Question 14

14.

If the area of a sector of a circle is 140.50 sq.cm and the length of the arc of the sector is 25.54 cm, the angle subtended at the center by the arc of the sector is

(i)

138.00°
(ii)

147.00°
(iii)

133.00°
(iv)

120.00°
(v)

121.00°

Question 15

15.

If the radius of a circle is 10.00 cm and the length of the arc of a sector is 8.73 cm, the perimeter of the circle is

(i)

65.86 cm
(ii)

59.86 cm
(iii)

57.86 cm
(iv)

67.86 cm
(v)

62.86 cm

Question 16

16.

If the radius of a circle is 11.00 cm and the area of a sector is 157.40 sq.cm, the length of the arc of the sector is

(i)

28.62 cm
(ii)

23.62 cm
(iii)

31.62 cm
(iv)

25.62 cm
(v)

33.62 cm

Question 17

17.

In the below figure, AB is the diameter of a circle with center O and OA = 10.00 cm . Find the area of the shaded region

(i)

111.71 sq.cm
(ii)

139.71 sq.cm
(iii)

120.71 sq.cm
(iv)

135.71 sq.cm
(v)

157.71 sq.cm

Question 18

18.

If the radius of a circle is 15.00 cm and the perimeter of a sector is 69.03 cm, the perimeter of the circle is

(i)

89.29 cm
(ii)

97.29 cm
(iii)

91.29 cm
(iv)

99.29 cm
(v)

94.29 cm

Question 19

19.

In the given figure, ABCD is a square of side 6.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region

(i)

120.86 sq.cm
(ii)

128.86 sq.cm
(iii)

107.86 sq.cm
(iv)

96.86 sq.cm
(v)

148.86 sq.cm

Question 20

20.

In the given figure ,PQRS is the diameter of the circle of radius 7.50 cm and PQ = QR = RS. Find the area of the shaded region

(i)

104.86 sq.cm
(ii)

117.86 sq.cm
(iii)

143.86 sq.cm
(iv)

93.86 sq.cm
(v)

125.86 sq.cm

Question 21

21.

If area of the circle is 78.57 sq.cm, the circumference of the circle is

(i)

28.43 cm
(ii)

31.43 cm
(iii)

26.43 cm
(iv)

36.43 cm
(v)

34.43 cm

Question 22

22.

Find the area of the shaded region

(i)

161.07 sq.cm
(ii)

146.07 sq.cm
(iii)

157.07 sq.cm
(iv)

178.07 sq.cm
(v)

173.07 sq.cm

Question 23

23.

If the area of a sector of a circle is 244.69 sq.cm and the area of the circle is 616.00 sq.cm, the angle subtended at the center by the arc of the sector is

(i)

131.00°
(ii)

158.00°
(iii)

160.00°
(iv)

143.00°
(v)

120.00°

Question 24

24.

If the length of the arc of a sector is 25.14 cm and the angle subtended at the center by the arc of the sector is 96.00°, the perimeter of the circle is

(i)

97.29 cm
(ii)

89.29 cm
(iii)

91.29 cm
(iv)

94.29 cm
(v)

99.29 cm

Question 25

25.

Find the area of the shaded region

(i)

93.86 sq.cm
(ii)

85.86 sq.cm
(iii)

95.86 sq.cm
(iv)

87.86 sq.cm
(v)

90.86 sq.cm

Assignment Key