EduSahara™ Worksheet

Question 1

1.

In the given figure, O is the centre of the circle and DE is the tangent at C. If ∠CAB = 44°, find ∠DCB

(i)

49°
(ii)

74°
(iii)

54°
(iv)

44°
(v)

59°

Question 2

2.

A chord that passes through the centre of the circle is called

(i)

major segment
(ii)

segment
(iii)

semi-circle
(iv)

radius
(v)

diameter

Question 3

3.

The minor sector of the circle is

(i)

JLKNJ
(ii)

JLK
(iii)

OJLKO
(iv)

JMKNJ
(v)

JMK

Question 4

4.

Find the area of the shaded region

(i)

51.21 sq.cm
(ii)

48.21 sq.cm
(iii)

45.21 sq.cm
(iv)

43.21 sq.cm
(v)

53.21 sq.cm

Question 5

5.

In the given figure, the width of the circular path is 8.00 m. Find the area of the shaded region

(i)

709.86 sq.m
(ii)

741.86 sq.m
(iii)

726.86 sq.m
(iv)

728.86 sq.m

Question 6

6.

In the given figure, the radius of the circle is 8 cm. Find the area of the minor sector

(i)

45.28 sq.cm
(ii)

53.28 sq.cm
(iii)

50.28 sq.cm
(iv)

47.28 sq.cm
(v)

55.28 sq.cm

Question 7

7.

Which of the following statements are true?

a)	Diameter of a circle is a part of the semi-circle of the circle.
b)	One and only one tangent can be drawn to a circle from a point outside it.
c)	One and only one tangent can be drawn to pass through a point on a circle.
d)	A secant of a circle is a segment having its end points on the circle.
e)	Every circle has a unique diameter.

(i)

{a,c}
(ii)

{e,b,a}
(iii)

{b,a}
(iv)

{d,c,a}
(v)

{d,c}

Question 8

8.

Which of the following figures represent a chord ?

(i)

fig III
(ii)

fig I
(iii)

fig IV
(iv)

fig II
(v)

fig V

Question 9

9.

A line segment joining any point on the circle with its centre is called

(i)

semi-circle
(ii)

major segment
(iii)

radius
(iv)

segment
(v)

diameter

Question 10

10.

The given figure consists of two quarter circles each of radius 10.00 cm and four semi-circles each of radius 5.00 cm. Find the area of the shaded region

(i)

175.14 sq.cm
(ii)

129.14 sq.cm
(iii)

143.14 sq.cm
(iv)

157.14 sq.cm
(v)

162.14 sq.cm

Question 11

11.

If two circles
intersect
,
the number of their common tangents is

(i)

1
(ii)

3
(iii)

2
(iv)

5
(v)

(-1)

Question 12

12.

'O' is the centre of a circle of radius 'r' and 'P' is any point in its plane.
If
OP
> r,then P is

(i)

outside the circle
(ii)

on the circle
(iii)

inside the circle

Question 13

13.

In the given figure, O is the centre of the circle and IJ is the tangent at F. If ∠GFH = 52° and ∠IFG = 96°, find ∠FHG

(i)

54°
(ii)

44°
(iii)

74°
(iv)

59°
(v)

49°

Question 14

14.

Find the area of the shaded region

(i)

86.43 sq.cm
(ii)

81.43 sq.cm
(iii)

78.43 sq.cm
(iv)

84.43 sq.cm
(v)

76.43 sq.cm

Question 15

15.

O is the centre of the circle. If ∠HJI = 31° and ∠JHK = 59°, find v°, w°

(i)

59°, 31°
(ii)

41°, 69°
(iii)

31°, 59°
(iv)

21°, 59°
(v)

61°, 79°

Question 16

16.

Which of the following statements are true?

a)	The diameter divides the circle into two unequal parts.
b)	The area enclosed by a chord and its major arc is called major segment.
c)	A circle divides the plane on which it lies into three parts.
d)	The area enclosed by a chord and its minor arc is called minor segment.
e)	A sector is the area enclosed by two radii and a chord.

(i)

{b,c,d}
(ii)

{a,e,d}
(iii)

{a,b}
(iv)

{e,c}
(v)

{a,b,c}

Question 17

17.

In the given figure, BC = 8 cm and AB = 10 cm. Find the perimeter of the shaded region

(i)

76.05 cm
(ii)

66.05 cm
(iii)

71.05 cm
(iv)

68.05 cm
(v)

74.05 cm

Question 18

18.

If the radius of a circle is 35 cm, what is its circumference?

(i)

221 cm
(ii)

219 cm
(iii)

222 cm
(iv)

220 cm
(v)

218 cm

Question 19

19.

Which of the following statements are true?

a)	Two different tangents can meet at a point on the circle.
b)	If two tangents are parallel, the distance between them is equal to the diameter of the circle.
c)	A line parallel to a tangent is a secant.
d)	If two tangents are perpendicular, they form a right angled triangle with their points of contact with the circle and their point of intersection.
e)	If two tangents to a circle intersect, their points of contact with the circle together with their point of intersection form an isosceles triangle.

(i)

{c,d}
(ii)

{a,b}
(iii)

{a,b,d}
(iv)

{b,d,e}
(v)

{a,c,e}

Question 20

20.

In the given figure, O is the centre of the circle. K is a point on chord IJ such that IK = KJ. Find ∠OKI

(i)

90°
(ii)

105°
(iii)

100°
(iv)

95°
(v)

120°

Question 21

21.

Find the area of the shaded region in the given figure common between the two quadrants of circles of radius 17.00 cm each

(i)

183.14 sq.cm
(ii)

180.14 sq.cm
(iii)

165.14 sq.cm
(iv)

149.14 sq.cm
(v)

153.14 sq.cm

Question 22

22.

In the given figure, ABCD is a square of side 13.00 cm and A, B, C, D are centres of circles which touch externally in pairs. Find the area of the shaded region

(i)

580.36 sq.cm
(ii)

575.36 sq.cm
(iii)

555.36 sq.cm
(iv)

567.36 sq.cm
(v)

551.36 sq.cm

Question 23

23.

The segment of the circle containing the centre of the circle is called

(i)

diameter
(ii)

radius
(iii)

major segment
(iv)

centre
(v)

semi-circle

Question 24

24.

In the given figure, BC = 4.00 cm. Find the area of the shaded region

(i)

160.57 sq.cm
(ii)

188.57 sq.cm
(iii)

183.57 sq.cm
(iv)

202.57 sq.cm
(v)

214.57 sq.cm

Question 25

25.

The major segment of the circle is

(i)

DFEHD
(ii)

DGE
(iii)

DFE
(iv)

DGEHD
(v)

IDFEI

Assignment Key