EduSahara™ Worksheet

Question 1

1.

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

(i)

segment
(ii)

chord
(iii)

major segment
(iv)

centre
(v)

circumference

Question 2

2.

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

(i)

major segment
(ii)

segment
(iii)

chord
(iv)

diameter
(v)

radius

Question 3

3.

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

(i)

segment
(ii)

diameter
(iii)

circumference
(iv)

major segment
(v)

chord

Question 4

4.

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

(i)

radius
(ii)

segment
(iii)

major segment
(iv)

circumference
(v)

diameter

Question 5

5.

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

(i)

major segment
(ii)

radius
(iii)

diameter
(iv)

segment
(v)

circumference

Question 6

6.

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

(i)

radius
(ii)

semi-circle
(iii)

major segment
(iv)

diameter
(v)

circumference

Question 7

7.

Half of a circle is called

(i)

segment
(ii)

semi-circle
(iii)

circumference
(iv)

diameter
(v)

chord

Question 8

8.

The perimeter of a circle is called

(i)

diameter
(ii)

radius
(iii)

segment
(iv)

circumference
(v)

centre

Question 9

9.

Which of the following statements are true?

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

(i)

{a,c}
(ii)

{b,d}
(iii)

{c,d,e}
(iv)

{a,b,e}
(v)

{a,c,d}

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

(i)

{c,d}
(ii)

{a,b,d}
(iii)

{a,b}
(iv)

{a,c,e}
(v)

{b,d,e}

Question 11

11.

Which of the following statements are true?

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

(i)

{c,e,a}
(ii)

{c,e}
(iii)

{d,b,a}
(iv)

{b,a}
(v)

{a,e}

Question 12

12.

If the diameter of a circle is 28 cm, what is its radius?

(i)

15 cm
(ii)

16 cm
(iii)

13 cm
(iv)

12 cm
(v)

14 cm

Question 13

13.

If the radius of a circle is 42 cm, what is its diameter?

(i)

86 cm
(ii)

85 cm
(iii)

82 cm
(iv)

83 cm
(v)

84 cm

Question 14

14.

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

(i)

483 cm
(ii)

484 cm
(iii)

486 cm
(iv)

485 cm
(v)

482 cm

Question 15

15.

Two circles with equal radii are

(i)

concentric
(ii)

congruent
(iii)

not similar
(iv)

only similar but not congruent

Question 16

16.

The centre of the circle is

(i)

O
(ii)

M
(iii)

N
(iv)

R
(v)

P

Question 17

17.

The chords of the circle are

(i)

GH

,

HI

,

IJ

,

JF
(ii)

KF

,

KG

,

KH

,

KI

,

KJ

(iii)

FG

,

GH

,

HI

,

IJ

,

JF

,

HJ

(iv)

FG

,

GH

,

HI

,

IJ

,

JF

,

KF
(v)

FG

,

GH

,

HI

,

IJ

,

JF

Question 18

18.

The diameters of the circle are

(i)

HI

,

IJ

,

JK

,

KL

,

LH

,

JL
(ii)

MH

,

MI

,

MJ

,

MK

,

ML
(iii)

HI

,

IJ

,

JK

,

KL

,

LH
(iv)

MH

,

MI

,

MJ

,

MK

,

ML

,

JL
(v)

JL

Question 19

19.

The radii of the circle are

(i)

HI

,

IJ

,

JK

,

KH

,

IK
(ii)

IJ

,

JK

,

KH
(iii)

HI

,

IJ

,

JK

,

KH

,

LH
(iv)

HI

,

IJ

,

JK

,

KH
(v)

LH

,

LI

,

LJ

,

LK

Question 20

20.

The minor sector of the circle is

(i)

FIGJF
(ii)

FIG
(iii)

FHGJF
(iv)

KFHGK
(v)

FHG

Question 21

21.

The major sector of the circle is

(i)

IKJMI
(ii)

ILJMI
(iii)

NILJN
(iv)

NIKJN
(v)

ILJ

Question 22

22.

The minor arc of the circle is

(i)

CFD
(ii)

CED
(iii)

HCFDH
(iv)

HCEDH
(v)

CFDGC

Question 23

23.

The major arc of the circle is

(i)

CED
(ii)

HCEDH
(iii)

CFD
(iv)

CFDGC
(v)

HCFDH

Question 24

24.

The minor segment of the circle is

(i)

GBECG
(ii)

BECFB
(iii)

BDCFB
(iv)

BDC
(v)

BEC

Question 25

25.

The major segment of the circle is

(i)

JEHFJ
(ii)

JEGFJ
(iii)

EHF
(iv)

EGF
(v)

EHFIE

Question 26

26.

Find the points belonging to the circle

(i)

{P,T,M}
(ii)

{N,Q,T}
(iii)

{O,R,U}
(iv)

{M,P,S}
(v)

{P,S,U}

Question 27

27.

Find the points belonging to the inside of the circle

(i)

{M,P,S}
(ii)

{Q,N,P}
(iii)

{N,Q,T}
(iv)

{R,Q,N}
(v)

{O,R,U}

Question 28

28.

Find the points belonging to the outside of the circle

(i)

{Q,U}
(ii)

{S,R}
(iii)

{Q,T}
(iv)

{P,S}
(v)

{R,U}

Question 29

29.

'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 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)

outside the circle
(iii)

inside 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)

outside the circle
(ii)

on the circle
(iii)

inside the circle

Question 32

32.

The distance around the circle is called

(i)

arc
(ii)

chord
(iii)

diameter
(iv)

circumference
(v)

radius

Question 33

33.

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

(i)

major segment
(ii)

radius
(iii)

tangent
(iv)

quadrant
(v)

secant

Question 34

34.

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

(i)

major segment
(ii)

segment
(iii)

diameter
(iv)

chord
(v)

tangent

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)

circumference
(ii)

quadrant
(iii)

tangent
(iv)

diameter
(v)

segment

Question 36

36.

Which of the following statements are true?

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

(i)

{a,c}
(ii)

{b,d}
(iii)

{e,a,c}
(iv)

{b,d,c}
(v)

{c,d}

Question 37

37.

Which of the following statements are true?

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

(i)

{b,c,e}
(ii)

{b,a,d}
(iii)

{b,a}
(iv)

{a,d,e}
(v)

{c,d}

Question 38

38.

Which of the following statements are true?

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

(i)

{a,c}
(ii)

{c,d,e}
(iii)

{b,d}
(iv)

{a,c,d}
(v)

{a,b,e}

Question 39

39.

Which of the following statements are true?

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

(i)

{e,a,b}
(ii)

{a,b}
(iii)

{b,d}
(iv)

{c,d,b}
(v)

{c,d}

Question 40

40.

Which of the following statements are true?

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

(i)

{d,b,a}
(ii)

{a,b}
(iii)

{d,b}
(iv)

{c,a}
(v)

{e,c,a}

Question 41

41.

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

(i)

excentre
(ii)

orthocentre
(iii)

circumcentre
(iv)

incentre
(v)

centroid

Question 42

42.

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

(i)

right angle triangle
(ii)

obtuse angled triangle
(iii)

equilateral triangle
(iv)

acute angled triangle

Question 43

43.

Circles having common centre are called

(i)

intersecting circles
(ii)

concentric circles
(iii)

similar circles
(iv)

congruent circles

Question 44

44.

If two circles are concentric, then

(i)

their centres are same
(ii)

their diameters are same
(iii)

their perimeters are same
(iv)

their radii are same

Question 45

45.

Which of the following figures represent a chord ?

(i)

fig V
(ii)

fig III
(iii)

fig II
(iv)

fig I
(v)

fig IV

Question 46

46.

Which of the following figures represent a diameter ?

(i)

fig IV
(ii)

fig II
(iii)

fig I
(iv)

fig V
(v)

fig III

Question 47

47.

Which of the following figures represent a secant ?

(i)

fig IV
(ii)

fig III
(iii)

fig II
(iv)

fig I
(v)

fig V

Question 48

48.

Which of the following figures represent a tangent ?

(i)

fig II
(ii)

fig I
(iii)

fig V
(iv)

fig IV
(v)

fig III

Question 49

49.

In triangle FGH, if a circle is drawn with GH as diameter and if it passes through F it is a

(i)

right angle triangle
(ii)

acute angled triangle
(iii)

equilateral triangle
(iv)

obtuse angled triangle

Question 50

50.

Which of the following statements are true?

a)

All diameters of a circle are chords.

b)

All chords of a circle are diameters.

c)

π
is a rational number.

d)

22
7
is a rational number.

e)

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

(i)

{b,a}
(ii)

{c,d}
(iii)

{b,c,e}
(iv)

{b,a,d}
(v)

{a,d,e}

Question 51

51.

Points which lie on the circumference of the circle are called

(i)

Concurrent points
(ii)

Cyclic points
(iii)

Similar points
(iv)

Coincident points
(v)

Concyclic points

Assignment Key