EduSahara™ Worksheet

Question 1

1.

If the radius of a circle is 12.00 cm and the area of a sector is 85.49 sq.cm, the area of the circle is

(i)

470.57 sq.cm
(ii)

435.57 sq.cm
(iii)

466.57 sq.cm
(iv)

452.57 sq.cm
(v)

450.57 sq.cm

Question 2

2.

If the area of a sector of a circle is 225.89 sq.cm and the area of the circle is 707.14 sq.cm, the length of the arc of the sector is

(i)

35.12 cm
(ii)

25.12 cm
(iii)

27.12 cm
(iv)

33.12 cm
(v)

30.12 cm

Question 3

3.

In an isosceles triangle △ABC, if BC = 13 cm, AB = CA = 10 cm, then corresponding height of side BC =

(i)

8.60 cm
(ii)

6.60 cm
(iii)

5.60 cm
(iv)

7.60 cm
(v)

9.60 cm

Question 4

4.

If the perimeter and area of a rectangle are 40.00 cm and 91.00 sq.cm respectively, the length of the rectangle =

(i)

8.00 cm
(ii)

16.00 cm
(iii)

18.00 cm
(iv)

10.00 cm
(v)

13.00 cm

Question 5

5.

If the width of the ring is 3.00 cm and outer radius is 10.00 cm, the inner circle radius is

(i)

5.00 cm
(ii)

7.00 cm
(iii)

8.00 cm
(iv)

6.00 cm
(v)

9.00 cm

Question 6

6.

If the length of the arc of a sector is 28.08 cm and the perimeter of the circle is 75.43 cm, the angle subtended at the center by the arc of the sector is

(i)

134.00°
(ii)

159.00°
(iii)

116.00°
(iv)

137.00°
(v)

110.00°

Question 7

7.

If the inner radius of the ring is 9.00 cm and area of the ring is 59.71 sq.cm, the outer circle area is

(i)

317.29 sq.cm
(ii)

302.29 sq.cm
(iii)

286.29 sq.cm
(iv)

314.29 sq.cm
(v)

330.29 sq.cm

Question 8

8.

If the radius of a circle is 12.00 cm and the angle subtended at the center by the arc of a sector is 155.00°, the length of the arc of the sector is

(i)

35.48 cm
(ii)

29.48 cm
(iii)

32.48 cm
(iv)

27.48 cm
(v)

37.48 cm

Question 9

9.

If the length and breadth of a rectangle are 20.00 cm and 19.00 cm respectively, the length of the diagonal =

(i)

22.59 cm
(ii)

24.59 cm
(iii)

30.59 cm
(iv)

32.59 cm
(v)

27.59 cm

Question 10

10.

If the area of a sector of a circle is 66.73 sq.cm and the length of the arc of the sector is 9.53 cm, the angle subtended at the center by the arc of the sector is

(i)

39.00°
(ii)

36.00°
(iii)

44.00°
(iv)

34.00°
(v)

42.00°

Question 11

11.

If the radius of a circle is 13.00 cm and the length of the arc of a sector is 37.68 cm, the perimeter of the sector is

(i)

68.68 cm
(ii)

66.68 cm
(iii)

60.68 cm
(iv)

63.68 cm
(v)

58.68 cm

Question 12

12.

Find the area of the shaded region given below

(i)

646.00 sq.m
(ii)

668.00 sq.m
(iii)

639.00 sq.m
(iv)

663.00 sq.m
(v)

651.00 sq.m

Question 13

13.

Find the area of the shaded region given below

(i)

292.00 sq.m
(ii)

280.00 sq.m
(iii)

287.00 sq.m
(iv)

314.00 sq.m
(v)

295.00 sq.m

Question 14

14.

In the below figure, two circles with centers O and A touch internally at B. If OB = 17.00 cm and OA = 11.9 cm, find the area of the unshaded region

(i)

810.54 sq.cm
(ii)

814.54 sq.cm
(iii)

848.54 sq.cm
(iv)

826.54 sq.cm
(v)

839.54 sq.cm

Question 15

15.

In an isosceles triangle △ABC, if BC = 20 cm, AB = CA = 11 cm, then area of the triangle =

(i)

50.83 sq.cm
(ii)

42.83 sq.cm
(iii)

45.83 sq.cm
(iv)

48.83 sq.cm
(v)

40.83 sq.cm

Question 16

16.

If the outer radius of the ring is 9.00 cm and area of the ring is 176.00 sq.cm, the inner circle area is

(i)

83.57 sq.cm
(ii)

73.57 sq.cm
(iii)

81.57 sq.cm
(iv)

78.57 sq.cm
(v)

75.57 sq.cm

Question 17

17.

In an isosceles right angled triangle △PQR, if area = 112.5 sq.cm, then side RP =

(i)

16.21 cm
(ii)

18.21 cm
(iii)

26.21 cm
(iv)

24.21 cm
(v)

21.21 cm

Question 18

18.

In the given figure, the circle circumscribes a rectangle with sides 13.00 cm and 12.00 cm. Find the area of the remaining portion other than the rectangle

(i)

94.93 sq.cm
(ii)

84.93 sq.cm
(iii)

89.93 sq.cm
(iv)

92.93 sq.cm
(v)

86.93 sq.cm

Question 19

19.

If the width of the ring is 1.00 cm and inner radius is 8.00 cm, the outer circle area is

(i)

254.57 sq.cm
(ii)

272.57 sq.cm
(iii)

239.57 sq.cm
(iv)

252.57 sq.cm
(v)

270.57 sq.cm

Question 20

20.

If the radius of a circle is 11.00 cm and the perimeter of a sector is 52.15 cm, the angle subtended at the center by the arc of the sector is

(i)

142.00°
(ii)

173.00°
(iii)

157.00°
(iv)

174.00°
(v)

145.00°

Question 21

21.

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

(i)

139.14 sq.cm
(ii)

183.14 sq.cm
(iii)

152.14 sq.cm
(iv)

157.14 sq.cm
(v)

159.14 sq.cm

Question 22

22.

In a right angled triangle △PQR, if the base QR = 12 cm and the corresponding height is 10 cm, then corresponding height of side PQ =

(i)

7.00 cm
(ii)

9.00 cm
(iii)

17.00 cm
(iv)

12.00 cm
(v)

15.00 cm

Question 23

23.

In a right angled triangle △PQR, if the area is 170 sq.cm and corresponding height of side QR = 20 cm, then side QR =

(i)

22.00 cm
(ii)

20.00 cm
(iii)

12.00 cm
(iv)

17.00 cm
(v)

14.00 cm

Question 24

24.

If the perimeter and area of a rectangle are 24.00 cm and 35.00 sq.cm respectively, the length of the diagonal =

(i)

6.60 cm
(ii)

9.60 cm
(iii)

8.60 cm
(iv)

10.60 cm
(v)

7.60 cm

Question 25

25.

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 outer circle radius is

(i)

10.00 cm
(ii)

8.00 cm
(iii)

9.00 cm
(iv)

7.00 cm
(v)

6.00 cm

Assignment Key