EduSahara™ Worksheet

Question 1

1.

If the radius of a circle is 14.00 cm and the area of a sector is 116.36 sq.cm, the length of the arc of the sector is

(i)

19.62 cm
(ii)

11.62 cm
(iii)

16.62 cm
(iv)

21.62 cm
(v)

13.62 cm

Question 2

2.

If the radius of a circle is 10.00 cm and the length of the arc of a sector is 17.98 cm, the perimeter of the sector is

(i)

40.98 cm
(ii)

34.98 cm
(iii)

42.98 cm
(iv)

32.98 cm
(v)

37.98 cm

Question 3

3.

If the side of a square is 16.00 cm, the length of the diagonal of the square =

(i)

19.62 cm
(ii)

27.62 cm
(iii)

22.62 cm
(iv)

17.62 cm
(v)

25.62 cm

Question 4

4.

If the area of a sector of a circle is 78.57 sq.cm and the angle subtended at the center by the arc of the sector is 90.00°, the perimeter of the sector is

(i)

35.71 cm
(ii)

40.71 cm
(iii)

30.71 cm
(iv)

32.71 cm
(v)

38.71 cm

Question 5

5.

In the given figure, ABCD is a square of side 18.00 cm . At the centre there is a circle with radius 4.50 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.

(i)

89.57 cm
(ii)

97.57 cm
(iii)

92.57 cm
(iv)

87.57 cm
(v)

95.57 cm

Question 6

6.

In an isosceles right angled triangle △PQR, if QR = 16 cm is one of the equal sides, then corresponding height of side PQ =

(i)

16.00 cm
(ii)

21.00 cm
(iii)

13.00 cm
(iv)

19.00 cm
(v)

11.00 cm

Question 7

7.

If the length and perimeter of a rectangle are 19.00 cm and 66.00 cm respectively, the area of the rectangle =

(i)

251.00 sq.cm
(ii)

266.00 sq.cm
(iii)

284.00 sq.cm
(iv)

289.00 sq.cm
(v)

250.00 sq.cm

Question 8

8.

If height of an equilateral triangle is 17.32 cm, the side of the equilateral triangle =

(i)

25.00 cm
(ii)

20.00 cm
(iii)

17.00 cm
(iv)

23.00 cm
(v)

15.00 cm

Question 9

9.

In the given figure, the circle circumscribes a rectangle with sides 14.00 cm and 10.00 cm. Find the area of the remaining portion other than the rectangle

(i)

97.57 sq.cm
(ii)

87.57 sq.cm
(iii)

89.57 sq.cm
(iv)

95.57 sq.cm
(v)

92.57 sq.cm

Question 10

10.

If area of an equilateral triangle is 125.14 sq.cm, the side of the equilateral triangle =

(i)

12.00 cm
(ii)

22.00 cm
(iii)

14.00 cm
(iv)

17.00 cm
(v)

20.00 cm

Question 11

11.

In a right angled triangle △PQR, if the base QR = 13 cm and the corresponding height is 17 cm, then side RP =

(i)

26.40 cm
(ii)

24.40 cm
(iii)

21.40 cm
(iv)

18.40 cm
(v)

16.40 cm

Question 12

12.

A rectangular field is 42 m by 30 m. It has two paths through its centre, running parallel to its sides.

The width of the longer and the shorter paths are 12 m and 16 m respectively.

Find the total expense involved in laying tiles on the paths at ₹22.7 per 1 sq.m and laying grass in the remaining portion at ₹22.9 per 1 sq.m.

(i)

₹28696.60
(ii)

₹28693.60
(iii)

₹28697.60
(iv)

₹28695.60
(v)

₹28694.60

Question 13

13.

If the perimeter and diagonal of a rectangle are 52.00 cm and 20.88 cm respectively, the area of the rectangle =

(i)

113.00 sq.cm
(ii)

124.00 sq.cm
(iii)

120.00 sq.cm
(iv)

108.00 sq.cm
(v)

147.00 sq.cm

Question 14

14.

If the radius of a circle is 11.00 cm and the length of the arc of a sector is 21.70 cm, the angle subtended at the center by the arc of the sector is

(i)

87.00°
(ii)

115.00°
(iii)

113.00°
(iv)

138.00°
(v)

101.00°

Question 15

15.

In a right angled triangle △PQR, if the area is 75 sq.cm and base QR = 10 cm, then corresponding height of side QR =

(i)

20.00 cm
(ii)

12.00 cm
(iii)

18.00 cm
(iv)

10.00 cm
(v)

15.00 cm

Question 16

16.

In the given figure, ABCD is a square with side 12.00 cm. Find the area of the shaded region

(i)

87.29 sq.cm
(ii)

79.29 sq.cm
(iii)

77.29 sq.cm
(iv)

82.29 sq.cm
(v)

85.29 sq.cm

Question 17

17.

If the radius of a circle is 13.00 cm and the angle subtended at the center by the arc of a sector is 107.00°, the area of the circle is

(i)

506.14 sq.cm
(ii)

538.14 sq.cm
(iii)

513.14 sq.cm
(iv)

531.14 sq.cm
(v)

549.14 sq.cm

Question 18

18.

In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 23 cm. Find the area of the shaded region

(i)

90.52 sq.cm
(ii)

95.52 sq.cm
(iii)

87.52 sq.cm
(iv)

85.52 sq.cm
(v)

93.52 sq.cm

Question 19

19.

If the length of the arc of a sector is 9.79 cm and the perimeter of the circle is 69.14 cm, the area of the sector is

(i)

56.87 sq.cm
(ii)

48.87 sq.cm
(iii)

53.87 sq.cm
(iv)

50.87 sq.cm
(v)

58.87 sq.cm

Question 20

20.

If the inner and outer radii of a ring are 9.00 cm and 10.00 cm respectively, the width of the ring is

(i)

9.00 cm
(ii)

0.00 cm
(iii)

1.00 cm
(iv)

2.00 cm
(v)

3.00 cm

Question 21

21.

If the radius of a circle is 13.00 cm and the area of a sector is 227.21 sq.cm, the area of the circle is

(i)

548.14 sq.cm
(ii)

509.14 sq.cm
(iii)

531.14 sq.cm
(iv)

554.14 sq.cm
(v)

517.14 sq.cm

Question 22

22.

If the radius of a circle is 14.00 cm and the perimeter of a sector is 54.64 cm, the area of the sector is

(i)

172.51 sq.cm
(ii)

186.51 sq.cm
(iii)

174.51 sq.cm
(iv)

201.51 sq.cm
(v)

202.51 sq.cm

Question 23

23.

If the length of the arc of a sector is 34.83 cm and the angle subtended at the center by the arc of the sector is 133.00°, the area of the circle is

(i)

690.14 sq.cm
(ii)

679.14 sq.cm
(iii)

707.14 sq.cm
(iv)

725.14 sq.cm
(v)

722.14 sq.cm

Question 24

24.

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)

314.29 sq.cm
(ii)

336.29 sq.cm
(iii)

300.29 sq.cm
(iv)

330.29 sq.cm
(v)

299.29 sq.cm

Question 25

25.

In a right angled triangle △PQR, if the area is 160 sq.cm and base QR = 16 cm, then side PQ =

(i)

15.00 cm
(ii)

20.00 cm
(iii)

25.00 cm
(iv)

23.00 cm
(v)

17.00 cm

Assignment Key