EduSahara™ Worksheet

Question 1

1.

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

(i)

semi-circle
(ii)

diameter
(iii)

centre
(iv)

radius
(v)

circumference

Question 2

2.

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

(i)

diameter
(ii)

semi-circle
(iii)

major segment
(iv)

centre
(v)

radius

Question 3

3.

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

(i)

chord
(ii)

diameter
(iii)

circumference
(iv)

segment
(v)

major segment

Question 4

4.

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

(i)

radius
(ii)

segment
(iii)

centre
(iv)

semi-circle
(v)

diameter

Question 5

5.

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

(i)

radius
(ii)

segment
(iii)

semi-circle
(iv)

centre
(v)

chord

Question 6

6.

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

(i)

semi-circle
(ii)

centre
(iii)

circumference
(iv)

radius
(v)

major segment

Question 7

7.

Half of a circle is called

(i)

radius
(ii)

semi-circle
(iii)

centre
(iv)

diameter
(v)

circumference

Question 8

8.

The perimeter of a circle is called

(i)

circumference
(ii)

semi-circle
(iii)

diameter
(iv)

segment
(v)

centre

Question 9

9.

Which of the following statements are true?

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

(i)

{d,e,c}
(ii)

{e,b}
(iii)

{d,a,b}
(iv)

{a,b,c}
(v)

{d,a}

Question 10

10.

Which of the following statements are true?

a)	An infinite number of diameters may be drawn for a circle.
b)	An infinite number of chords may be drawn for a circle.
c)	Two semi-circles of a circle together make the whole circle.
d)	Every circle has a unique diameter.
e)	One and only one tangent can be drawn to a circle from a point outside it.

(i)

{d,a}
(ii)

{d,e,c}
(iii)

{a,b,c}
(iv)

{d,a,b}
(v)

{e,b}

Question 11

11.

Which of the following statements are true?

a)	A secant of a circle is a segment having its end points on the circle.
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)	One and only one tangent can be drawn to a circle from a point outside it.

(i)

{b,d}
(ii)

{a,c}
(iii)

{e,a,c}
(iv)

{b,d,c}
(v)

{c,d}

Question 12

12.

If the diameter of a circle is 140 cm, what is its radius?

(i)

71 cm
(ii)

69 cm
(iii)

68 cm
(iv)

70 cm
(v)

72 cm

Question 13

13.

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

(i)

156 cm
(ii)

152 cm
(iii)

153 cm
(iv)

154 cm
(v)

155 cm

Question 14

14.

If the radius of a circle is 98 cm, what is its circumference?

(i)

616 cm
(ii)

614 cm
(iii)

618 cm
(iv)

615 cm
(v)

617 cm

Question 15

15.

Two circles with equal radii are

(i)

not similar
(ii)

congruent
(iii)

only similar but not congruent
(iv)

concentric

Question 16

16.

Identify the figure below

(i)

hexagon
(ii)

circle
(iii)

octagon
(iv)

decagon
(v)

triangle

Question 17

17.

The centre of the circle is

(i)

G
(ii)

H
(iii)

I
(iv)

J
(v)

F

Question 18

18.

The chords of the circle are

(i)

RL

,

RM

,

RN

,

RO

,

RP

,

RQ
(ii)

LM

,

MN

,

NO

,

OP

,

PQ

,

QL
(iii)

MN

,

NO

,

OP

,

PQ

,

QL

(iv)

LM

,

MN

,

NO

,

OP

,

PQ

,

QL

,

RM

(v)

LM

,

MN

,

NO

,

OP

,

PQ

,

QL

,

OQ

Question 19

19.

The diameters of the circle are

(i)

JE

,

JF

,

JG

,

JH

,

JI
(ii)

JE

,

JF

,

JG

,

JH

,

JI

,

GI
(iii)

GI
(iv)

EF

,

FG

,

GH

,

HI

,

IE

,

GI
(v)

EF

,

FG

,

GH

,

HI

,

IE

Question 20

20.

The radii of the circle are

(i)

LH

,

LI

,

LJ

,

LK
(ii)

IJ

,

JK

,

KH
(iii)

HI

,

IJ

,

JK

,

KH

,

LI
(iv)

HI

,

IJ

,

JK

,

KH

,

IK
(v)

HI

,

IJ

,

JK

,

KH

Question 21

21.

The minor sector of the circle is

(i)

JMKNJ
(ii)

JMK
(iii)

JLK
(iv)

OJMKO
(v)

OJLKO

Question 22

22.

The major sector of the circle is

(i)

NILJN
(ii)

NIKJN
(iii)

ILJ
(iv)

IKJ
(v)

ILJMI

Question 23

23.

The minor arc of the circle is

(i)

EHFIE
(ii)

JEHFJ
(iii)

EHF
(iv)

EGF
(v)

EGFIE

Question 24

24.

The major arc of the circle is

(i)

ADB
(ii)

FADBF
(iii)

ACBEA
(iv)

FACBF
(v)

ADBEA

Question 25

25.

The minor segment of the circle is

(i)

NIKJN
(ii)

ILJ
(iii)

ILJMI
(iv)

IKJ
(v)

IKJMI

Question 26

26.

The major segment of the circle is

(i)

HJI
(ii)

MHKIM
(iii)

MHJIM
(iv)

HKILH
(v)

HJILH

Question 27

27.

Find the points belonging to the circle

(i)

{P,S}
(ii)

{R,U}
(iii)

{T,S}
(iv)

{R,S}
(v)

{Q,T}

Question 28

28.

Find the points belonging to the inside of the circle

(i)

{K,E,G}
(ii)

{D,G,J}
(iii)

{E,H,K}
(iv)

{F,I,L}
(v)

{E,L,H}

Question 29

29.

Find the points belonging to the outside of the circle

(i)

{G,I}
(ii)

{I,K}
(iii)

{I,L}
(iv)

{H,K}
(v)

{G,J}

Question 30

30.

'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 31

31.

'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)

inside the circle
(ii)

on the circle
(iii)

outside the circle

Question 32

32.

'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 33

33.

A line which intersects the circle at two distinct points is called a

(i)

radius
(ii)

secant
(iii)

segment
(iv)

semi-circle
(v)

tangent

Question 34

34.

A line which touches a circle at only one point is called a

(i)

tangent
(ii)

circumference
(iii)

quadrant
(iv)

secant
(v)

semi-circle

Question 35

35.

If the two radii OP and OQ of a circle are at right angles to each other, then the sector OPQ is called a

(i)

radius
(ii)

chord
(iii)

quadrant
(iv)

secant
(v)

centre

Question 36

36.

Which of the following statements are true?

a)	The diameter is the longest chord.
b)	A chord divides a circle into two sectors.
c)	The radius is the shortest chord.
d)	A chord divides a circle into two segments.
e)	Atmost one chord can be drawn on a circle with a certain length.

(i)

{a,d}
(ii)

{e,b,a}
(iii)

{b,a}
(iv)

{c,d}
(v)

{c,d,a}

Question 37

37.

Which of the following statements are true?

a)	Equal length chords are equidistant from the centre of the circle.
b)	Equal length chords subtend equal angles at the centre of the circle.
c)	The longest chord of the circle passes through the centre of the circle.
d)	The farther the chord is from the centre, the larger the angle it subtends at the centre.
e)	No two chords bisects each other.

(i)

{d,e,c}
(ii)

{d,a}
(iii)

{e,b}
(iv)

{d,a,b}
(v)

{a,b,c}

Question 38

38.

Which of the following statements are true?

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

(i)

{b,d}
(ii)

{c,d,e}
(iii)

{a,c}
(iv)

{a,c,d}
(v)

{a,b,e}

Question 39

39.

Which of the following statements are true?

a)	The midpoint of any diameter of a circle is its centre.
b)	The diameter divides the circle into two unequal parts.
c)	A sector is the area enclosed by two radii and a chord.
d)	The longest of all chords of a circle is called diameter.
e)	Two chords bisect each other.

(i)

{c,d,a}
(ii)

{c,d}
(iii)

{a,d}
(iv)

{b,a}
(v)

{e,b,a}

Question 40

40.

Which of the following statements are true?

a)	Exactly two tangents can be drawn parallel to a secant.
b)	Atmost one circle can be drawn passing through three non-collinear points.
c)	Only one circle can be drawn passing through two points.
d)	Only one circle can be drawn with a centre.
e)	Infinite circles can be drawn passing through three collinear points.

(i)

{c,a}
(ii)

{d,b,a}
(iii)

{d,b}
(iv)

{a,b}
(v)

{e,c,a}

Question 41

41.

Which of the following statements are true?

a)	A secant and a chord are same.
b)	A secant has two end points.
c)	A radius is a limiting case of a diameter.
d)	A diameter is a limiting case of a chord.
e)	A tangent is the limiting case of a secant.

(i)

{d,e}
(ii)

{c,a,d}
(iii)

{a,d}
(iv)

{b,e}
(v)

{b,e,d}

Question 42

42.

Which of the following statements are true?

a)	If two circles touch internally, the distance between their centres is the difference of their radii.
b)	If two circles touch internally, their centres and the point of contact form a scalene triangle.
c)	If two circles touch externally, the square of the distance between their centres is the sum of the squares of their radii.
d)	If two circles touch externally, their centres and the point of contact form an isosceles triangle.
e)	If two circles touch externally, the distance between their centres is the sum of their radii.
f)	If two circles touch internally, the square of the distance between their centres is the difference of the squares of their radii.

(i)

{b,a}
(ii)

{b,e,a}
(iii)

{c,e}
(iv)

{a,e}
(v)

{d,f,a}

Question 43

43.

The point of intersection of the angular bisectors of a triangle is

(i)

excentre
(ii)

circumcentre
(iii)

incentre
(iv)

centroid
(v)

orthocentre

Question 44

44.

The angle subtended by the semicircle at the centre is

(i)

210°
(ii)

180°
(iii)

195°
(iv)

190°
(v)

185°

Question 45

45.

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

(i)

100°
(ii)

120°
(iii)

90°
(iv)

105°
(v)

95°

Question 46

46.

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 47

47.

Circles having common centre are called

(i)

concentric circles
(ii)

similar circles
(iii)

intersecting circles
(iv)

congruent circles

Question 48

48.

If two circles are concentric, then

(i)

their centres are same
(ii)

their radii are same
(iii)

their diameters are same
(iv)

their perimeters are same

Question 49

49.

Which of the following figures represent a chord ?

(i)

fig II
(ii)

fig I
(iii)

fig IV
(iv)

fig III
(v)

fig V

Question 50

50.

Which of the following figures represent a diameter ?

(i)

fig III
(ii)

fig V
(iii)

fig IV
(iv)

fig II
(v)

fig I

Question 51

51.

Which of the following figures represent a secant ?

(i)

fig I
(ii)

fig IV
(iii)

fig III
(iv)

fig V
(v)

fig II

Question 52

52.

Which of the following figures represent a tangent ?

(i)

fig V
(ii)

fig IV
(iii)

fig II
(iv)

fig III
(v)

fig I

Question 53

53.

With the vertices of a triangle △ABC as centres, three circles are drawn touching each other externally. If the sides of the triangle are 7 cm , 13 cm and 10 cm , find the radii of the circles

(i)

7 cm , 5 cm & 8 cm respectively
(ii)

7 cm , 10 cm & 13 cm respectively
(iii)

2 cm , 5 cm & 13 cm respectively
(iv)

2 cm , 10 cm & 8 cm respectively
(v)

2 cm , 5 cm & 8 cm respectively

Question 54

54.

In triangle JKL, if a circle is drawn with KL as diameter and if it passes through J it is a

(i)

acute angled triangle
(ii)

equilateral triangle
(iii)

right angle triangle
(iv)

obtuse angled triangle

Question 55

55.

Which of the following statements are true?

a)

All chords of a circle are diameters.

b)

π
is a rational number.

c)

A circle divides the plane into three mutually disjoint sets of points.

d)

All diameters of a circle are chords.

e)

22
7
is a rational number.

(i)

{a,c,d}
(ii)

{a,c}
(iii)

{b,d}
(iv)

{a,b,e}
(v)

{c,d,e}

Question 56

56.

Points which lie on the circumference of the circle are called

(i)

Concurrent points
(ii)

Similar points
(iii)

Concyclic points
(iv)

Coincident points
(v)

Cyclic points

Assignment Key