EduSahara™ Worksheet

Question 1

1.

In the given figure, d = 20.00 cm is the diameter of the semi-circles. Find the area of the shaded region

(i)

601.57 sq.cm
(ii)

621.57 sq.cm
(iii)

644.57 sq.cm
(iv)

633.57 sq.cm
(v)

628.57 sq.cm

Question 2

2.

If area of an equilateral triangle is 97.43 sq.cm, the side of the equilateral triangle =

(i)

10.00 cm
(ii)

20.00 cm
(iii)

12.00 cm
(iv)

18.00 cm
(v)

15.00 cm

Question 3

3.

If the length of the diagonal of a square is 14.14 cm, the perimeter of the square =

(i)

43.00 cm
(ii)

45.00 cm
(iii)

35.00 cm
(iv)

40.00 cm
(v)

37.00 cm

Question 4

4.

If the perimeter and area of a rectangle are 26.00 cm and 40.00 sq.cm respectively, the length of the diagonal =

(i)

7.43 cm
(ii)

9.43 cm
(iii)

8.43 cm
(iv)

11.43 cm
(v)

10.43 cm

Question 5

5.

If the inner and outer radii of a ring are 5.00 cm and 10.00 cm respectively, the inner circle area is

(i)

73.57 sq.cm
(ii)

78.57 sq.cm
(iii)

83.57 sq.cm
(iv)

81.57 sq.cm
(v)

75.57 sq.cm

Question 6

6.

In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 19 cm. Find the area of the shaded region

(i)

58.77 sq.cm
(ii)

66.77 sq.cm
(iii)

64.77 sq.cm
(iv)

56.77 sq.cm
(v)

61.77 sq.cm

Question 7

7.

In a right angled triangle △PQR, if the base QR = 17 cm and the corresponding height is 16 cm, then side PQ =

(i)

13.00 cm
(ii)

16.00 cm
(iii)

19.00 cm
(iv)

21.00 cm
(v)

11.00 cm

Question 8

8.

In a right angled triangle △PQR, if the base QR = 17 cm and the corresponding height is 16 cm, then perimeter of the triangle =

(i)

59.35 cm
(ii)

53.35 cm
(iii)

56.35 cm
(iv)

61.35 cm
(v)

51.35 cm

Question 9

9.

If circumference of the circle is 56.57 cm, the area of the circle is

(i)

254.57 sq.cm
(ii)

257.57 sq.cm
(iii)

268.57 sq.cm
(iv)

226.57 sq.cm
(v)

249.57 sq.cm

Question 10

10.

If the length of the diagonal of a square is 25.45 cm, the area of the square =

(i)

319.00 sq.cm
(ii)

350.00 sq.cm
(iii)

338.00 sq.cm
(iv)

324.00 sq.cm
(v)

297.00 sq.cm

Question 11

11.

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

(i)

10.00 cm
(ii)

18.00 cm
(iii)

12.00 cm
(iv)

15.00 cm
(v)

20.00 cm

Question 12

12.

If radius of the circle is 9.00 cm, the perimeter of the semicircle is

(i)

41.29 cm
(ii)

46.29 cm
(iii)

43.29 cm
(iv)

49.29 cm
(v)

51.29 cm

Question 13

13.

If the width of the ring is 1.00 cm and inner radius is 7.00 cm, the area of the ring is

(i)

52.14 sq.cm
(ii)

47.14 sq.cm
(iii)

42.14 sq.cm
(iv)

44.14 sq.cm
(v)

50.14 sq.cm

Question 14

14.

In an isosceles right angled triangle △PQR, if QR = 11 cm is one of the equal sides, then perimeter of the triangle =

(i)

37.56 cm
(ii)

42.56 cm
(iii)

34.56 cm
(iv)

32.56 cm
(v)

40.56 cm

Question 15

15.

In the below figure, BCPA is a quadrant of a circle. BC = 18.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region

(i)

180.00 sq.cm
(ii)

150.00 sq.cm
(iii)

147.00 sq.cm
(iv)

178.00 sq.cm
(v)

162.00 sq.cm

Question 16

16.

If the length and diagonal of a rectangle are 17.00 cm and 21.40 cm respectively, the breadth of the rectangle =

(i)

16.00 cm
(ii)

10.00 cm
(iii)

13.00 cm
(iv)

18.00 cm
(v)

8.00 cm

Question 17

17.

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

(i)

46.43 cm
(ii)

48.43 cm
(iii)

54.43 cm
(iv)

51.43 cm
(v)

56.43 cm

Question 18

18.

Find the area of the shaded region

(i)

98.00 sq.cm
(ii)

95.00 sq.cm
(iii)

101.00 sq.cm
(iv)

93.00 sq.cm
(v)

103.00 sq.cm

Question 19

19.

In rhombus PQRS, if one of the diagonals QS = 19.00 cm and area is 267.90 sq.cm, the diagonal PR =

(i)

31.20 cm
(ii)

23.20 cm
(iii)

28.20 cm
(iv)

33.20 cm
(v)

25.20 cm

Question 20

20.

In the given figure, the circle circumscribes a rectangle with sides 14.00 cm and 12.00 cm. Find the area of the remaining portion other than the rectangle

(i)

104.14 sq.cm
(ii)

99.14 sq.cm
(iii)

96.14 sq.cm
(iv)

94.14 sq.cm
(v)

102.14 sq.cm

Question 21

21.

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

(i)

8650.00 sq.m
(ii)

8220.00 sq.m
(iii)

8720.00 sq.m
(iv)

8500.00 sq.m
(v)

8440.00 sq.m

Question 22

22.

In quadrilateral PQRS, if diagonal QS = 14.00 cm, perpendiculars from the vertices P and R to the diagonal QS are 14.90 cm and 15.49 cm respectively, then height of the vertex R to the diagonal QS is

(i)

10.49 cm
(ii)

12.49 cm
(iii)

15.49 cm
(iv)

20.49 cm
(v)

18.49 cm

Question 23

23.

If the inner radius of the ring is 6.00 cm and area of the ring is 40.86 sq.cm, the inner circle area is

(i)

98.14 sq.cm
(ii)

113.14 sq.cm
(iii)

130.14 sq.cm
(iv)

96.14 sq.cm
(v)

121.14 sq.cm

Question 24

24.

In quadrilateral PQRS, if area is 185.92 sq.cm, height of vertex P to the diagonal QS is 17.46 cm, and height of vertex R to the diagonal QS is 7.33 cm, then diagonal QS =

(i)

15.00 cm
(ii)

10.00 cm
(iii)

12.00 cm
(iv)

18.00 cm
(v)

20.00 cm

Question 25

25.

In △PQR, if QR = 10 cm, RP = 11 cm and the corresponding height of side QR = 11 cm, then corresponding height of side RP =

(i)

7.00 cm
(ii)

15.00 cm
(iii)

13.00 cm
(iv)

10.00 cm
(v)

5.00 cm

Assignment Key