EduSahara™ Worksheet

Question 1

1.

In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 17 cm. Find the area of the shaded region

(i)

46.45 sq.cm
(ii)

44.45 sq.cm
(iii)

49.45 sq.cm
(iv)

52.45 sq.cm
(v)

54.45 sq.cm

Question 2

2.

In the given figure, the circle circumscribes a rectangle with sides 15.00 cm and 14.00 cm. Find the area of the remaining portion other than the rectangle

(i)

120.79 sq.cm
(ii)

94.79 sq.cm
(iii)

137.79 sq.cm
(iv)

112.79 sq.cm
(v)

144.79 sq.cm

Question 3

3.

In the given figure, the radius of the circle is 11 cm. Find the area of the minor sector

(i)

98.07 sq.cm
(ii)

100.07 sq.cm
(iii)

90.07 sq.cm
(iv)

95.07 sq.cm
(v)

92.07 sq.cm

Question 4

4.

In the given figure, the radius of the circle is 7 cm. Find the area of the major sector

(i)

115.50 sq.cm
(ii)

88.50 sq.cm
(iii)

130.50 sq.cm
(iv)

111.50 sq.cm
(v)

138.50 sq.cm

Question 5

5.

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)

126.86 sq.cm
(ii)

150.86 sq.cm
(iii)

134.86 sq.cm
(iv)

173.86 sq.cm
(v)

152.86 sq.cm

Question 6

6.

In the given figure ,PQRS is the diameter of the circle of radius 13.50 cm and PQ = QR = RS. Find the perimeter of the shaded region

(i)

81.86 cm
(ii)

87.86 cm
(iii)

84.86 cm
(iv)

79.86 cm
(v)

89.86 cm

Question 7

7.

In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 15 and EB = 2.3 , find the area of the remaining portion

(i)

70.46 sq.cm
(ii)

62.46 sq.cm
(iii)

65.46 sq.cm
(iv)

60.46 sq.cm
(v)

68.46 sq.cm

Question 8

8.

In the given figure, ABCD is a square of side 16.00 cm . At the centre there is a circle with radius 4.00 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.

(i)

140.43 sq.cm
(ii)

155.43 sq.cm
(iii)

171.43 sq.cm
(iv)

139.43 sq.cm
(v)

177.43 sq.cm

Question 9

9.

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)

71.86 cm
(ii)

69.86 cm
(iii)

63.86 cm
(iv)

66.86 cm
(v)

61.86 cm

Question 10

10.

In the given figure, ABCD is a square of side 11.00 cm and A, B, C, D are the centres of circular arcs, each of radius 5.50 cm. Find the area of the shaded region

(i)

25.93 sq.cm
(ii)

20.93 sq.cm
(iii)

30.93 sq.cm
(iv)

22.93 sq.cm
(v)

28.93 sq.cm

Question 11

11.

In the given figure, ABCD is a square of side 5.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region

(i)

83.93 sq.cm
(ii)

88.93 sq.cm
(iii)

80.93 sq.cm
(iv)

86.93 sq.cm
(v)

78.93 sq.cm

Question 12

12.

In the given figure, BC = 15 cm and AB = 13 cm. Find the area of the shaded region

(i)

225.07 sq.cm
(ii)

240.07 sq.cm
(iii)

212.07 sq.cm
(iv)

208.07 sq.cm
(v)

197.07 sq.cm

Question 13

13.

In the given figure, BC = 15 cm and AB = 12 cm. Find the perimeter of the shaded region

(i)

119.58 cm
(ii)

79.58 cm
(iii)

106.58 cm
(iv)

128.58 cm
(v)

91.58 cm

Question 14

14.

In the below figure, AB is the diameter of a circle with center O and OA = 19.00 cm . Find the area of the shaded region

(i)

489.93 sq.cm
(ii)

507.93 sq.cm
(iii)

463.93 sq.cm
(iv)

477.93 sq.cm
(v)

516.93 sq.cm

Question 15

15.

In the below figure, two circles with centers O and A touch internally at B. If OB = 10.00 cm and OA = 3 cm, find the area of the unshaded region

(i)

156.29 sq.cm
(ii)

138.29 sq.cm
(iii)

166.29 sq.cm
(iv)

160.29 sq.cm
(v)

183.29 sq.cm

Question 16

16.

In the below figure, BPQA is a quadrant of a circle. AB = 13.00 cm and BC = 10 cm . Find the area of the shaded region

(i)

72.78 sq.cm
(ii)

67.78 sq.cm
(iii)

70.78 sq.cm
(iv)

64.78 sq.cm
(v)

62.78 sq.cm

Question 17

17.

In the below figure, BCPA is a quadrant of a circle. BC = 17.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region

(i)

119.50 sq.cm
(ii)

147.50 sq.cm
(iii)

142.50 sq.cm
(iv)

144.50 sq.cm
(v)

160.50 sq.cm

Question 18

18.

In the given figure, the triangle inside the square is an isosceles triangle. Find the area of the shaded region

(i)

81.50 sq.cm
(ii)

89.50 sq.cm
(iii)

79.50 sq.cm
(iv)

87.50 sq.cm
(v)

84.50 sq.cm

Question 19

19.

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

(i)

138.00 sq.cm
(ii)

157.00 sq.cm
(iii)

130.00 sq.cm
(iv)

153.00 sq.cm
(v)

166.00 sq.cm

Question 20

20.

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

(i)

141.50 sq.cm
(ii)

174.50 sq.cm
(iii)

143.50 sq.cm
(iv)

182.50 sq.cm
(v)

159.50 sq.cm

Question 21

21.

In the given figure, d = 13.00 cm is the diameter of the semi-circles. Find the area of the shaded region

(i)

262.57 sq.cm
(ii)

249.57 sq.cm
(iii)

265.57 sq.cm
(iv)

279.57 sq.cm
(v)

280.57 sq.cm

Question 22

22.

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

(i)

530.36 sq.cm
(ii)

557.36 sq.cm
(iii)

508.36 sq.cm
(iv)

546.36 sq.cm
(v)

528.36 sq.cm

Question 23

23.

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 6.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region

(i)

113.14 sq.cm
(ii)

96.14 sq.cm
(iii)

127.14 sq.cm
(iv)

119.14 sq.cm
(v)

95.14 sq.cm

Question 24

24.

The given figure consists of two quarter circles each of radius 16.00 cm and four semi-circles each of radius 8.00 cm. Find the area of the shaded region

(i)

379.29 sq.cm
(ii)

402.29 sq.cm
(iii)

390.29 sq.cm
(iv)

418.29 sq.cm
(v)

430.29 sq.cm

Question 25

25.

In the given figure, the width of the circular path is 10.00 m. Find the area of the shaded region

(i)

1402.86 sq.m
(ii)

1542.86 sq.m
(iii)

1162.86 sq.m
(iv)

1232.86 sq.m
(v)

1422.86 sq.m

Question 26

26.

Find the area of the shaded region

(i)

21.43 sq.cm
(ii)

18.43 sq.cm
(iii)

26.43 sq.cm
(iv)

16.43 sq.cm
(v)

24.43 sq.cm

Question 27

27.

Find the area of the shaded region

(i)

90.86 sq.cm
(ii)

102.86 sq.cm
(iii)

110.86 sq.cm
(iv)

99.86 sq.cm
(v)

125.86 sq.cm

Question 28

28.

Find the area of the shaded region

(i)

72.43 sq.cm
(ii)

78.43 sq.cm
(iii)

75.43 sq.cm
(iv)

70.43 sq.cm
(v)

80.43 sq.cm

Question 29

29.

In the given figure, BC = 5.00 cm. Find the area of the shaded region

(i)

310.64 sq.cm
(ii)

269.64 sq.cm
(iii)

294.64 sq.cm
(iv)

280.64 sq.cm
(v)

306.64 sq.cm

Question 30

30.

In the given figure, arcs of two concentric circles of radii 15.00 cm and 4.50 cm are drawn with center O. If ∠FOG = 60°, find the area of the shaded region

(i)

83.25 sq.cm
(ii)

122.25 sq.cm
(iii)

129.25 sq.cm
(iv)

105.25 sq.cm
(v)

107.25 sq.cm

Question 31

31.

In the given figure △ABC is an equilateral triangle whose area is 84.87 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)

6.87 sq.cm
(ii)

8.87 sq.cm
(iii)

7.87 sq.cm
(iv)

5.87 sq.cm
(v)

9.87 sq.cm

Question 32

32.

In the given figure, ABCD is a square with side 18.00 cm. Find the area of the shaded region

(i)

189.14 sq.cm
(ii)

179.14 sq.cm
(iii)

185.14 sq.cm
(iv)

163.14 sq.cm
(v)

202.14 sq.cm

Question 33

33.

Find the area of the shaded region in the given figure common between the two quadrants of circles of radius 19.00 cm each

(i)

189.29 sq.cm
(ii)

234.29 sq.cm
(iii)

213.29 sq.cm
(iv)

184.29 sq.cm
(v)

206.29 sq.cm

Assignment Key