EduSahara™ Worksheet

Question 1

1.

If the length of the arc of a sector is 37.45 cm and the area of the circle is 707.14 sq.cm, the perimeter of the circle is

(i)

94.29 cm
(ii)

91.29 cm
(iii)

99.29 cm
(iv)

97.29 cm
(v)

89.29 cm

Question 2

2.

If the radius of a circle is 10.00 cm and the area of a sector is 81.19 sq.cm, the perimeter of the sector is

(i)

39.24 cm
(ii)

36.24 cm
(iii)

31.24 cm
(iv)

33.24 cm
(v)

41.24 cm

Question 3

3.

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

(i)

240.71 sq.cm
(ii)

213.71 sq.cm
(iii)

217.71 sq.cm
(iv)

248.71 sq.cm
(v)

235.71 sq.cm

Question 4

4.

If the length of the arc of a sector is 13.39 cm and the perimeter of the circle is 81.71 cm, the area of the circle is

(i)

547.14 sq.cm
(ii)

548.14 sq.cm
(iii)

531.14 sq.cm
(iv)

514.14 sq.cm
(v)

515.14 sq.cm

Question 5

5.

In the given figure, d = 17.00 cm is the diameter of the semi-circles. Find the area of the shaded region

(i)

467.14 sq.cm
(ii)

479.14 sq.cm
(iii)

441.14 sq.cm
(iv)

454.14 sq.cm
(v)

440.14 sq.cm

Question 6

6.

The major segment of the circle is

(i)

BEC
(ii)

BDCFB
(iii)

BECFB
(iv)

BDC
(v)

GBECG

Question 7

7.

In the given figure, BC = 12 cm and AB = 7 cm. Find the perimeter of the shaded region

(i)

73.55 cm
(ii)

81.55 cm
(iii)

79.55 cm
(iv)

76.55 cm
(v)

71.55 cm

Question 8

8.

If the length of the arc of a sector is 23.81 cm and the angle subtended at the center by the arc of the sector is 124.00°, the perimeter of the sector is

(i)

40.81 cm
(ii)

50.81 cm
(iii)

48.81 cm
(iv)

45.81 cm
(v)

42.81 cm

Question 9

9.

If the length of the arc of a sector is 21.22 cm and the area of the circle is 707.14 sq.cm, the radius of the circle is

(i)

18.00 cm
(ii)

15.00 cm
(iii)

20.00 cm
(iv)

12.00 cm
(v)

10.00 cm

Question 10

10.

If the radius of a circle is 13.00 cm and the perimeter of a sector is 56.41 cm, the area of the sector is

(i)

197.70 sq.cm
(ii)

205.70 sq.cm
(iii)

181.70 sq.cm
(iv)

225.70 sq.cm

Question 11

11.

The minor sector of the circle is

(i)

EGF
(ii)

EGFIE
(iii)

EHFIE
(iv)

JEGFJ
(v)

EHF

Question 12

12.

The radii of the circle are

(i)

MN

,

NO

,

OP

,

PQ

,

QM

,

OQ
(ii)

MN

,

NO

,

OP

,

PQ

,

QM

,

RN
(iii)

RM

,

RN

,

RO

,

RP

,

RQ
(iv)

NO

,

OP

,

PQ

,

QM
(v)

MN

,

NO

,

OP

,

PQ

,

QM

Question 13

13.

If the area of a sector of a circle is 61.97 sq.cm and the angle subtended at the center by the arc of the sector is 42.00°, the perimeter of the sector is

(i)

38.53 cm
(ii)

30.53 cm
(iii)

40.53 cm
(iv)

35.53 cm
(v)

32.53 cm

Question 14

14.

In the below figure, BCPA is a quadrant of a circle. BC = 10.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region

(i)

55.00 sq.cm
(ii)

50.00 sq.cm
(iii)

45.00 sq.cm
(iv)

47.00 sq.cm
(v)

53.00 sq.cm

Question 15

15.

If the radius of a circle is 14.00 cm and the length of the arc of a sector is 29.33 cm, the perimeter of the circle is

(i)

93.00 cm
(ii)

91.00 cm
(iii)

85.00 cm
(iv)

83.00 cm
(v)

88.00 cm

Question 16

16.

The minor segment of the circle is

(i)

NIKJN
(ii)

IKJMI
(iii)

ILJMI
(iv)

ILJ
(v)

IKJ

Question 17

17.

If the area of a sector of a circle is 32.75 sq.cm and the length of the arc of the sector is 5.95 cm, the perimeter of the circle is

(i)

66.14 cm
(ii)

69.14 cm
(iii)

64.14 cm
(iv)

74.14 cm
(v)

72.14 cm

Question 18

18.

In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 18 cm. Find the area of the shaded region

(i)

50.44 sq.cm
(ii)

60.44 sq.cm
(iii)

52.44 sq.cm
(iv)

55.44 sq.cm
(v)

58.44 sq.cm

Question 19

19.

In the given figure, arcs of two concentric circles of radii 17.00 cm and 5.10 cm are drawn with center O. If ∠FOG = 30°, find the area of the shaded region

(i)

71.88 sq.cm
(ii)

68.88 sq.cm
(iii)

73.88 sq.cm
(iv)

65.88 sq.cm
(v)

63.88 sq.cm

Question 20

20.

If the area of a sector of a circle is 282.86 sq.cm and the area of the circle is 707.14 sq.cm, the length of the arc of the sector is

(i)

37.72 cm
(ii)

40.72 cm
(iii)

34.72 cm
(iv)

32.72 cm
(v)

42.72 cm

Question 21

21.

If the area of a sector of a circle is 64.44 sq.cm and the area of the circle is 380.29 sq.cm, the radius of the circle is

(i)

6.00 cm
(ii)

14.00 cm
(iii)

8.00 cm
(iv)

16.00 cm
(v)

11.00 cm

Question 22

22.

In the below figure, AB is the diameter of a circle with center O and OA = 16.00 cm . Find the area of the shaded region

(i)

360.43 sq.cm
(ii)

329.43 sq.cm
(iii)

347.43 sq.cm
(iv)

362.43 sq.cm

Question 23

23.

If the length of the arc of a sector is 24.01 cm and the perimeter of the circle is 69.14 cm, the perimeter of the sector is

(i)

41.01 cm
(ii)

51.01 cm
(iii)

49.01 cm
(iv)

43.01 cm
(v)

46.01 cm

Question 24

24.

If diameter of the circle is 14.00 cm, the area of the semicircle is

(i)

77.00 sq.cm
(ii)

72.00 sq.cm
(iii)

82.00 sq.cm
(iv)

74.00 sq.cm
(v)

80.00 sq.cm

Question 25

25.

If the length of the arc of a sector is 26.16 cm and the area of the circle is 616.00 sq.cm, the perimeter of the sector is

(i)

54.16 cm
(ii)

57.16 cm
(iii)

49.16 cm
(iv)

51.16 cm
(v)

59.16 cm

Assignment Key