EduSahara™ Worksheet

Question 1

1.

If the outer radius of the ring is 9.00 cm and area of the ring is 53.43 sq.cm, the outer circle area is

(i)

231.57 sq.cm
(ii)

236.57 sq.cm
(iii)

258.57 sq.cm
(iv)

281.57 sq.cm
(v)

254.57 sq.cm

Question 2

2.

If area of an equilateral triangle is 110.85 sq.cm, the side of the equilateral triangle =

(i)

16.00 cm
(ii)

13.00 cm
(iii)

21.00 cm
(iv)

19.00 cm
(v)

11.00 cm

Question 3

3.

Find the area of the shaded region of the adjoining figure, given that ∠LGH = ∠IHG = 90°, KJ ∥ GH ∥ LI, KM ⟂ LI, JN ⟂ LI, LM = NI, GH = 27 cm, GL = 9 cm, KJ = 7 cm and distance between GH and KJ is 16 cm

(i)

360.00 sq.cm
(ii)

363.00 sq.cm
(iii)

364.00 sq.cm
(iv)

362.00 sq.cm
(v)

361.00 sq.cm

Question 4

4.

If the radius of a circle is 15.00 cm and the angle subtended at the center by the arc of a sector is 120.00°, the length of the arc of the sector is

(i)

36.43 cm
(ii)

28.43 cm
(iii)

26.43 cm
(iv)

34.43 cm
(v)

31.43 cm

Question 5

5.

In △PQR, if corresponding height of side QR = 15.65 cm and area of the triangle = 78.23 sq.cm, then side QR =

(i)

10.00 cm
(ii)

13.00 cm
(iii)

5.00 cm
(iv)

7.00 cm
(v)

15.00 cm

Question 6

6.

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 width of the ring is

(i)

9.00 cm
(ii)

3.00 cm
(iii)

1.00 cm
(iv)

0.00 cm
(v)

2.00 cm

Question 7

7.

In the given figure, BC = 7 cm and AB = 6 cm. Find the area of the shaded region

(i)

45.79 sq.cm
(ii)

40.79 sq.cm
(iii)

42.79 sq.cm
(iv)

50.79 sq.cm
(v)

48.79 sq.cm

Question 8

8.

If the perimeter and area of a rectangle are 72.00 cm and 323.00 sq.cm respectively, the length of the diagonal =

(i)

20.50 cm
(ii)

30.50 cm
(iii)

22.50 cm
(iv)

28.50 cm
(v)

25.50 cm

Question 9

9.

If area of an equilateral triangle is 62.35 sq.cm, the perimeter of the equilateral triangle =

(i)

41.00 cm
(ii)

31.00 cm
(iii)

36.00 cm
(iv)

33.00 cm
(v)

39.00 cm

Question 10

10.

If the width of the ring is 2.00 cm and inner radius is 8.00 cm, the outer circle radius is

(i)

10.00 cm
(ii)

15.00 cm
(iii)

5.00 cm
(iv)

7.00 cm
(v)

13.00 cm

Question 11

11.

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

(i)

173.14 sq.cm
(ii)

157.14 sq.cm
(iii)

172.14 sq.cm
(iv)

134.14 sq.cm
(v)

141.14 sq.cm

Question 12

12.

If the radius of a circle is 14.00 cm and the perimeter of a sector is 66.13 cm, the length of the arc of the sector is

(i)

43.13 cm
(ii)

35.13 cm
(iii)

38.13 cm
(iv)

41.13 cm
(v)

33.13 cm

Question 13

13.

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

(i)

165.93 sq.cm
(ii)

190.93 sq.cm
(iii)

204.93 sq.cm
(iv)

183.93 sq.cm
(v)

217.93 sq.cm

Question 14

14.

If the area of a sector of a circle is 298.57 sq.cm and the area of the circle is 707.14 sq.cm, the perimeter of the circle is

(i)

91.29 cm
(ii)

97.29 cm
(iii)

99.29 cm
(iv)

94.29 cm
(v)

89.29 cm

Question 15

15.

If the radius of a circle is 15.00 cm and the area of a sector is 125.71 sq.cm, the perimeter of the sector is

(i)

46.76 cm
(ii)

43.76 cm
(iii)

41.76 cm
(iv)

51.76 cm
(v)

49.76 cm

Question 16

16.

If the radius of a circle is 15.00 cm and the perimeter of a sector is 67.45 cm, the perimeter of the circle is

(i)

94.29 cm
(ii)

91.29 cm
(iii)

89.29 cm
(iv)

99.29 cm
(v)

97.29 cm

Question 17

17.

If the area of a square is 289.00 sq.cm, the perimeter of the square =

(i)

68.00 cm
(ii)

71.00 cm
(iii)

73.00 cm
(iv)

63.00 cm
(v)

65.00 cm

Question 18

18.

If the area of a sector of a circle is 162.68 sq.cm and the length of the arc of the sector is 29.58 cm, the radius of the circle is

(i)

6.00 cm
(ii)

11.00 cm
(iii)

8.00 cm
(iv)

16.00 cm
(v)

14.00 cm

Question 19

19.

In an isosceles triangle △ABC, if BC = 17 cm, AB = CA = 15 cm, then corresponding height of side AB =

(i)

14.01 cm
(ii)

9.01 cm
(iii)

19.01 cm
(iv)

11.01 cm
(v)

17.01 cm

Question 20

20.

If the breadth and diagonal of a rectangle are 6.00 cm and 16.16 cm respectively, the perimeter of the rectangle =

(i)

47.00 cm
(ii)

45.00 cm
(iii)

39.00 cm
(iv)

37.00 cm
(v)

42.00 cm

Question 21

21.

If the inner radius of the ring is 7.00 cm and area of the ring is 47.14 sq.cm, the outer circle area is

(i)

213.14 sq.cm
(ii)

226.14 sq.cm
(iii)

177.14 sq.cm
(iv)

199.14 sq.cm
(v)

201.14 sq.cm

Question 22

22.

In a right angled triangle △PQR, if QR = 17 cm, PQ = 15 cm are the lengths of perpendicular sides , then corresponding height of side RP =

(i)

16.25 cm
(ii)

14.25 cm
(iii)

11.25 cm
(iv)

6.25 cm
(v)

8.25 cm

Question 23

23.

Find the area of the field shown in the figure. All dimensions are in m

(i)

9850.00 sq.m
(ii)

8550.00 sq.m
(iii)

11150.00 sq.m
(iv)

11650.00 sq.m
(v)

13850.00 sq.m

Question 24

24.

Find the area of the shaded region given below

(i)

496.00 sq.m
(ii)

535.00 sq.m
(iii)

540.00 sq.m
(iv)

523.00 sq.m
(v)

519.00 sq.m

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)

1324.29 sq.m
(ii)

944.29 sq.m
(iii)

1314.29 sq.m
(iv)

1174.29 sq.m
(v)

1054.29 sq.m

Assignment Key