EduSahara™ Worksheet

Question 1

1.

In the given figure, the radius of the circle is 10 cm. Find the area of the major sector

(i)

207.71 sq.cm
(ii)

235.71 sq.cm
(iii)

218.71 sq.cm
(iv)

248.71 sq.cm
(v)

257.71 sq.cm

Question 2

2.

If the length of the arc of a sector is 21.65 cm and the perimeter of the circle is 62.86 cm, the radius of the circle is

(i)

5.00 cm
(ii)

15.00 cm
(iii)

7.00 cm
(iv)

13.00 cm
(v)

10.00 cm

Question 3

3.

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

(i)

56.57 sq.cm
(ii)

59.57 sq.cm
(iii)

51.57 sq.cm
(iv)

53.57 sq.cm
(v)

61.57 sq.cm

Question 4

4.

In an isosceles triangle △ABC, if base BC = 17 cm and the corresponding height is 6.98 cm, then area of the triangle =

(i)

54.35 sq.cm
(ii)

62.35 sq.cm
(iii)

56.35 sq.cm
(iv)

59.35 sq.cm
(v)

64.35 sq.cm

Question 5

5.

In an isosceles triangle △ABC, if BC = 19 cm, CA = AB and perimeter is 51 cm, then side AB =

(i)

16.00 cm
(ii)

13.00 cm
(iii)

19.00 cm
(iv)

11.00 cm
(v)

21.00 cm

Question 6

6.

In the given figure, BC = 5 cm and AB = 10 cm. Find the area of the shaded region

(i)

78.21 sq.cm
(ii)

73.21 sq.cm
(iii)

70.21 sq.cm
(iv)

76.21 sq.cm
(v)

68.21 sq.cm

Question 7

7.

If circumference of the circle is 31.43 cm, the radius of the circle is

(i)

3.00 cm
(ii)

7.00 cm
(iii)

6.00 cm
(iv)

5.00 cm
(v)

4.00 cm

Question 8

8.

If the length and diagonal of a rectangle are 19.00 cm and 24.21 cm respectively, the perimeter of the rectangle =

(i)

71.00 cm
(ii)

73.00 cm
(iii)

63.00 cm
(iv)

68.00 cm
(v)

65.00 cm

Question 9

9.

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

(i)

25.86 cm
(ii)

30.86 cm
(iii)

33.86 cm
(iv)

27.86 cm
(v)

35.86 cm

Question 10

10.

If radius of the circle is 10.00 cm, the circumference of the circle is

(i)

62.86 cm
(ii)

59.86 cm
(iii)

67.86 cm
(iv)

65.86 cm
(v)

57.86 cm

Question 11

11.

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

(i)

40.83 sq.cm
(ii)

45.83 sq.cm
(iii)

42.83 sq.cm
(iv)

48.83 sq.cm
(v)

50.83 sq.cm

Question 12

12.

In a right angled triangle △PQR, if QR = 20 cm, PQ = 17 cm are the lengths of perpendicular sides , then area of the triangle =

(i)

152.00 sq.cm
(ii)

188.00 sq.cm
(iii)

170.00 sq.cm
(iv)

174.00 sq.cm
(v)

143.00 sq.cm

Question 13

13.

In an isosceles triangle △ABC, if BC = 15 cm, CA = AB and perimeter is 39 cm, then corresponding height of side AB =

(i)

16.71 cm
(ii)

6.71 cm
(iii)

14.71 cm
(iv)

11.71 cm
(v)

8.71 cm

Question 14

14.

If the length of the arc of a sector is 26.54 cm and the angle subtended at the center by the arc of the sector is 152.00°, the radius of the circle is

(i)

7.00 cm
(ii)

10.00 cm
(iii)

13.00 cm
(iv)

15.00 cm
(v)

5.00 cm

Question 15

15.

If perimeter of an equilateral triangle 51 cm, the height of the equilateral triangle =

(i)

11.72 cm
(ii)

9.72 cm
(iii)

17.72 cm
(iv)

14.72 cm
(v)

19.72 cm

Question 16

16.

If height of an equilateral triangle is 12.99 cm, the side of the equilateral triangle =

(i)

18.00 cm
(ii)

20.00 cm
(iii)

12.00 cm
(iv)

10.00 cm
(v)

15.00 cm

Question 17

17.

If the area of the inner circle of the ring is 78.57 sq.cm and area of outer circle is 113.14 sq.cm, the area of the ring is

(i)

34.57 sq.cm
(ii)

29.57 sq.cm
(iii)

31.57 sq.cm
(iv)

39.57 sq.cm
(v)

37.57 sq.cm

Question 18

18.

If the breadth and area of a rectangle are 12.00 cm and 228.00 sq.cm respectively, the length of the rectangle =

(i)

24.00 cm
(ii)

14.00 cm
(iii)

16.00 cm
(iv)

22.00 cm
(v)

19.00 cm

Question 19

19.

If the area and diagonal of a rectangle are 272.00 sq.cm and 23.35 cm respectively, the breadth of the rectangle =

(i)

21.00 cm
(ii)

13.00 cm
(iii)

16.00 cm
(iv)

19.00 cm
(v)

11.00 cm

Question 20

20.

Find the area of the shaded region given below

(i)

425.00 sq.m
(ii)

454.00 sq.m
(iii)

440.00 sq.m
(iv)

434.00 sq.m
(v)

457.00 sq.m

Question 21

21.

If diameter of the circle is 14.00 cm, the circumference of the circle is

(i)

44.00 cm
(ii)

49.00 cm
(iii)

39.00 cm
(iv)

47.00 cm
(v)

41.00 cm

Question 22

22.

If the length and diagonal of a rectangle are 16.00 cm and 20.62 cm respectively, the area of the rectangle =

(i)

214.00 sq.cm
(ii)

186.00 sq.cm
(iii)

235.00 sq.cm
(iv)

208.00 sq.cm
(v)

206.00 sq.cm

Question 23

23.

If the outer radius of the ring is 10.00 cm and area of the ring is 59.71 sq.cm, the width of the ring is

(i)

0.00 cm
(ii)

9.00 cm
(iii)

1.00 cm
(iv)

2.00 cm
(v)

3.00 cm

Question 24

24.

If the area of a sector of a circle is 80.42 sq.cm and the length of the arc of the sector is 11.49 cm, the perimeter of the sector is

(i)

44.49 cm
(ii)

36.49 cm
(iii)

34.49 cm
(iv)

39.49 cm
(v)

42.49 cm

Question 25

25.

In parallelogram PQRS, if distance between the parallel sides PQ and RS is 10.72 cm and area is 128.64 sq.cm, the base of the parallelogram PQ =

(i)

17.00 cm
(ii)

12.00 cm
(iii)

7.00 cm
(iv)

15.00 cm
(v)

9.00 cm

Assignment Key