EduSahara™ Worksheet

Question 1

1.

Find the points belonging to the circle

(i)

{M,P,S}
(ii)

{M,S,Q}
(iii)

{O,M,P}
(iv)

{N,Q,T}
(v)

{O,R,U}

Question 2

2.

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)

equilateral triangle
(iii)

acute angled triangle
(iv)

right angle triangle

Question 3

3.

Find the points belonging to the inside of the circle

(i)

{C,E,H}
(ii)

{E,A,B}
(iii)

{C,F,I}
(iv)

{A,D,G}
(v)

{B,E,H}

Question 4

4.

The angle subtended by the diameter at any point on the circle is

(i)

95°
(ii)

90°
(iii)

120°
(iv)

100°
(v)

105°

Question 5

5.

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

(i)

circumference
(ii)

segment
(iii)

chord
(iv)

diameter
(v)

semi-circle

Question 6

6.

The angle subtended by the semicircle at the centre is

(i)

190°
(ii)

185°
(iii)

210°
(iv)

180°
(v)

195°

Question 7

7.

The major segment of the circle is

(i)

PKMLP
(ii)

KNLOK
(iii)

KML
(iv)

KNL
(v)

KMLOK

Question 8

8.

The distance around the circle is called

(i)

radius
(ii)

chord
(iii)

diameter
(iv)

circumference
(v)

arc

Question 9

9.

If the diameter of a circle is 70 cm, what is its radius?

(i)

33 cm
(ii)

37 cm
(iii)

36 cm
(iv)

34 cm
(v)

35 cm

Question 10

10.

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

(i)

{b,d,c}
(ii)

{c,d}
(iii)

{b,d}
(iv)

{e,a,c}
(v)

{a,c}

Question 11

11.

The chords of the circle are

(i)

HI

,

IJ

,

JK

,

KL

,

LM

,

MH

,

KM

(ii)

HI

,

IJ

,

JK

,

KL

,

LM

,

MH

(iii)

NH

,

NI

,

NJ

,

NK

,

NL

,

NM

(iv)

IJ

,

JK

,

KL

,

LM

,

MH

(v)

HI

,

IJ

,

JK

,

KL

,

LM

,

MH

,

NK

Question 12

12.

Two circles with equal radii are

(i)

congruent
(ii)

not similar
(iii)

only similar but not congruent
(iv)

concentric

Question 13

13.

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)	An infinite number of diameters may be drawn for a circle.
c)	An infinite number of chords may be drawn for a circle.
d)	Two semi-circles of a circle together make the whole circle.
e)	Every circle has a unique diameter.

(i)

{a,e,d}
(ii)

{b,c,d}
(iii)

{e,c}
(iv)

{a,b}
(v)

{a,b,c}

Question 14

14.

If the radius of a circle is 77 cm, what is its diameter?

(i)

156 cm
(ii)

154 cm
(iii)

152 cm
(iv)

153 cm
(v)

155 cm

Question 15

15.

The minor sector of the circle is

(i)

JEGFJ
(ii)

EHF
(iii)

EHFIE
(iv)

EGF
(v)

JEHFJ

Question 16

16.

'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)

inside the circle
(iii)

outside the circle

Question 17

17.

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

(i)

major segment
(ii)

chord
(iii)

radius
(iv)

segment
(v)

diameter

Question 18

18.

The major sector of the circle is

(i)

ILJ
(ii)

NIKJN
(iii)

NILJN
(iv)

IKJMI
(v)

ILJMI

Question 19

19.

The major arc of the circle is

(i)

IDGEI
(ii)

DGE
(iii)

DFE
(iv)

DFEHD
(v)

DGEHD

Question 20

20.

The diameters of the circle are

(i)

CE
(ii)

FA

,

FB

,

FC

,

FD

,

FE

(iii)

AB

,

BC

,

CD

,

DE

,

EA

,

CE

(iv)

FA

,

FB

,

FC

,

FD

,

FE

,

CE
(v)

AB

,

BC

,

CD

,

DE

,

EA

Question 21

21.

'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 22

22.

In the given figure IK & JK are equal length chords of the circle. Find ∠KIJ

(i)

75°
(ii)

60°
(iii)

45°
(iv)

55°
(v)

50°

Question 23

23.

Identify the figure below

(i)

heptagon
(ii)

decagon
(iii)

circle
(iv)

angle
(v)

nonagon

Question 24

24.

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

(i)

centre
(ii)

segment
(iii)

semi-circle
(iv)

circumference
(v)

major segment

Question 25

25.

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

(i)

chord
(ii)

semi-circle
(iii)

segment
(iv)

diameter
(v)

radius

Assignment Key