EduSahara™ Worksheet

Question 1

1.

Which of the following figures represent a secant ?

(i)

fig V
(ii)

fig III
(iii)

fig I
(iv)

fig IV
(v)

fig II

Question 2

2.

Find the points belonging to the circle

(i)

{M,O}
(ii)

{N,Q}
(iii)

{M,N}
(iv)

{O,R}
(v)

{M,P}

Question 3

3.

The distance around the circle is called

(i)

radius
(ii)

diameter
(iii)

circumference
(iv)

arc
(v)

chord

Question 4

4.

'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)

on the circle
(ii)

outside the circle
(iii)

inside the circle

Question 5

5.

Which of the following figures represent a chord ?

(i)

fig V
(ii)

fig I
(iii)

fig III
(iv)

fig II
(v)

fig IV

Question 6

6.

In the given triangle S is the circumcentre. If SG = 13.30 cm, find the circumference of the circumcircle

(i)

85.6 cm
(ii)

83.6 cm
(iii)

84.6 cm
(iv)

81.6 cm
(v)

82.6 cm

Question 7

7.

Two circles with equal radii are

(i)

concentric
(ii)

only similar but not congruent
(iii)

not similar
(iv)

congruent

Question 8

8.

Find the missing angle in the following figure?

(i)

30°
(ii)

50°
(iii)

25°
(iv)

20°
(v)

35°

Question 9

9.

The minor segment of the circle is

(i)

DFEHD
(ii)

DFE
(iii)

IDGEI
(iv)

IDFEI
(v)

DGEHD

Question 10

10.

Half of a circle is called

(i)

semi-circle
(ii)

chord
(iii)

centre
(iv)

diameter
(v)

major segment

Question 11

11.

Which of the following statements are true?

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

(i)

{b,c}
(ii)

{e,a,b}
(iii)

{d,c,b}
(iv)

{d,c}
(v)

{a,b}

Question 12

12.

Which of the following figures represent a diameter ?

(i)

fig V
(ii)

fig IV
(iii)

fig II
(iv)

fig I
(v)

fig III

Question 13

13.

The major arc of the circle is

(i)

HKI
(ii)

HJI
(iii)

HJILH
(iv)

MHKIM
(v)

HKILH

Question 14

14.

The mid-point of the diameter of a circle is called

(i)

centre
(ii)

chord
(iii)

semi-circle
(iv)

segment
(v)

diameter

Question 15

15.

A chord of a circle divides the whole circular region into two parts, each called a

(i)

diameter
(ii)

chord
(iii)

segment
(iv)

centre
(v)

circumference

Question 16

16.

The chords of the circle are

(i)

AB

,

BC

,

CD

,

DE

,

EA

,

FA
(ii)

FA

,

FB

,

FC

,

FD

,

FE
(iii)

AB

,

BC

,

CD

,

DE

,

EA
(iv)

AB

,

BC

,

CD

,

DE

,

EA

,

CE
(v)

BC

,

CD

,

DE

,

EA

Question 17

17.

Which of the following statements are true?

a)	Each radius of a circle is also a chord of the circle.
b)	A circle consists of an infinite number of points.
c)	Every circle has a unique diameter.
d)	A line can meet a circle atmost at two points.
e)	Every circle has a unique centre.

(i)

{a,b}
(ii)

{b,d,e}
(iii)

{a,b,d}
(iv)

{a,c,e}
(v)

{c,d}

Question 18

18.

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

(i)

semi-circle
(ii)

segment
(iii)

radius
(iv)

diameter
(v)

centre

Question 19

19.

An arc subtends 90° in its alternate segment. The arc is

(i)

minor arc
(ii)

major segment
(iii)

semi-circle
(iv)

minor segment
(v)

quadrant

Question 20

20.

A line segment having its end points on the circle is called a

(i)

segment
(ii)

chord
(iii)

circumference
(iv)

diameter
(v)

radius

Question 21

21.

If the radius of the circumcircle is half the length of a side of the triangle, then the triangle is

(i)

obtuse angled triangle
(ii)

right angle triangle
(iii)

equilateral triangle
(iv)

acute angled triangle

Question 22

22.

The minor sector of the circle is

(i)

HCFDH
(ii)

CFD
(iii)

CED
(iv)

CFDGC
(v)

HCEDH

Question 23

23.

O is the centre of the circle and OI = HI. Find ∠IOG

(i)

135°
(ii)

150°
(iii)

125°
(iv)

130°
(v)

120°

Question 24

24.

The angle subtended by the semicircle at the centre is

(i)

180°
(ii)

195°
(iii)

190°
(iv)

185°
(v)

210°

Question 25

25.

The major sector of the circle is

(i)

OJMKO
(ii)

JMK
(iii)

JLKNJ
(iv)

JLK
(v)

JMKNJ

Assignment Key