EduSahara™ Worksheet

Question 1

1.

If radius of the circle is 8.00 cm, the circumference of the circle is

(i)

50.29 cm
(ii)

55.29 cm
(iii)

45.29 cm
(iv)

53.29 cm
(v)

47.29 cm

Question 2

2.

The minor sector of the circle is

(i)

GIHKG
(ii)

GJH
(iii)

GJHKG
(iv)

LGJHL
(v)

LGIHL

Question 3

3.

In the given figure, BC = 6.00 cm. Find the area of the shaded region

(i)

424.29 sq.cm
(ii)

399.29 sq.cm
(iii)

407.29 sq.cm
(iv)

438.29 sq.cm
(v)

442.29 sq.cm

Question 4

4.

The minor segment of the circle is

(i)

CFDGC
(ii)

CEDGC
(iii)

HCEDH
(iv)

HCFDH
(v)

CFD

Question 5

5.

If the length of the arc of a sector is 25.74 cm and the angle subtended at the center by the arc of the sector is 134.00°, the area of the circle is

(i)

380.29 sq.cm
(ii)

394.29 sq.cm
(iii)

356.29 sq.cm
(iv)

382.29 sq.cm
(v)

372.29 sq.cm

Question 6

6.

If circumference of the circle is 50.29 cm, the area of the semicircle is

(i)

86.57 sq.cm
(ii)

83.57 sq.cm
(iii)

123.57 sq.cm
(iv)

100.57 sq.cm
(v)

106.57 sq.cm

Question 7

7.

If the radius of a circle is 14.00 cm and the angle subtended at the center by the arc of a sector is 71.00°, the area of the circle is

(i)

631.00 sq.cm
(ii)

619.00 sq.cm
(iii)

616.00 sq.cm
(iv)

604.00 sq.cm
(v)

602.00 sq.cm

Question 8

8.

If the radius of a circle is 12.00 cm and the perimeter of a sector is 49.35 cm, the area of the circle is

(i)

428.57 sq.cm
(ii)

449.57 sq.cm
(iii)

464.57 sq.cm
(iv)

467.57 sq.cm
(v)

452.57 sq.cm

Question 9

9.

Find the area of the shaded region in the given figure common between the two quadrants of circles of radius 18.00 cm each

(i)

200.14 sq.cm
(ii)

213.14 sq.cm
(iii)

167.14 sq.cm
(iv)

185.14 sq.cm
(v)

178.14 sq.cm

Question 10

10.

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

(i)

20.00 cm
(ii)

17.00 cm
(iii)

15.00 cm
(iv)

23.00 cm
(v)

25.00 cm

Question 11

11.

In the given figure, ABCD is a square of side 13.00 cm and A, B, C, D are the centres of circular arcs, each of radius 6.50 cm. Find the area of the shaded region

(i)

39.21 sq.cm
(ii)

31.21 sq.cm
(iii)

41.21 sq.cm
(iv)

33.21 sq.cm
(v)

36.21 sq.cm

Question 12

12.

If the area of a sector of a circle is 253.39 sq.cm and the angle subtended at the center by the arc of the sector is 129.00°, the area of the circle is

(i)

707.14 sq.cm
(ii)

721.14 sq.cm
(iii)

694.14 sq.cm
(iv)

700.14 sq.cm

Question 13

13.

In the given figure △ABC is an equilateral triangle whose area is 110.85 sq.cm. With each vertex of the triangle as center, a circle is drawn with radius equal to half the length of the side of the triangle . Find the area of the shaded region

(i)

7.28 sq.cm
(ii)

13.28 sq.cm
(iii)

10.28 sq.cm
(iv)

15.28 sq.cm
(v)

5.28 sq.cm

Question 14

14.

If the radius of a circle is 10.00 cm and the area of a sector is 56.75 sq.cm, the perimeter of the sector is

(i)

28.35 cm
(ii)

26.35 cm
(iii)

36.35 cm
(iv)

34.35 cm
(v)

31.35 cm

Question 15

15.

In the given figure, ABCD is a square of side 16.00 cm . At the centre there is a circle with radius 4.00 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.

(i)

82.29 cm
(ii)

85.29 cm
(iii)

77.29 cm
(iv)

87.29 cm
(v)

79.29 cm

Question 16

16.

If the length of the arc of a sector is 18.44 cm and the angle subtended at the center by the arc of the sector is 88.00°, the perimeter of the sector is

(i)

37.44 cm
(ii)

47.44 cm
(iii)

45.44 cm
(iv)

39.44 cm
(v)

42.44 cm

Question 17

17.

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

(i)

8.00 cm
(ii)

7.00 cm
(iii)

9.00 cm
(iv)

5.00 cm
(v)

6.00 cm

Question 18

18.

In the given figure, ABCD is a square of side 14.00 cm . At the centre there is a circle with radius 3.50 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.

(i)

119.00 sq.cm
(ii)

137.00 sq.cm
(iii)

136.00 sq.cm
(iv)

91.00 sq.cm
(v)

114.00 sq.cm

Question 19

19.

In the given figure, the width of the circular path is 5.00 m. Find the area of the shaded region

(i)

493.43 sq.m
(ii)

478.43 sq.m
(iii)

459.43 sq.m
(iv)

456.43 sq.m
(v)

471.43 sq.m

Question 20

20.

The major segment of the circle is

(i)

FIGJF
(ii)

KFIGK
(iii)

FHGJF
(iv)

FIG
(v)

FHG

Question 21

21.

In the given figure, the circle circumscribes a rectangle with sides 14.00 cm and 13.00 cm. Find the area of the remaining portion other than the rectangle

(i)

80.79 sq.cm
(ii)

112.79 sq.cm
(iii)

116.79 sq.cm
(iv)

104.79 sq.cm
(v)

89.79 sq.cm

Question 22

22.

If the area of a sector of a circle is 47.54 sq.cm and the area of the circle is 380.29 sq.cm, the length of the arc of the sector is

(i)

10.64 cm
(ii)

8.64 cm
(iii)

7.64 cm
(iv)

9.64 cm
(v)

6.64 cm

Question 23

23.

If the area of a sector of a circle is 85.56 sq.cm and the area of the circle is 616.00 sq.cm, the radius of the circle is

(i)

9.00 cm
(ii)

14.00 cm
(iii)

11.00 cm
(iv)

17.00 cm
(v)

19.00 cm

Question 24

24.

If the radius of a circle is 13.00 cm and the length of the arc of a sector is 30.87 cm, the area of the sector is

(i)

228.65 sq.cm
(ii)

216.65 sq.cm
(iii)

200.65 sq.cm
(iv)

177.65 sq.cm
(v)

197.65 sq.cm

Question 25

25.

In the given figure, the radius of the circle is 12 cm. Find the area of the major sector

(i)

339.43 sq.cm
(ii)

316.43 sq.cm
(iii)

351.43 sq.cm
(iv)

325.43 sq.cm

Assignment Key