EduSahara™ Worksheet

Question 1

1.

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

(i)

circumference
(ii)

major segment
(iii)

centre
(iv)

semi-circle
(v)

chord

Question 2

2.

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

(i)

segment
(ii)

major segment
(iii)

radius
(iv)

diameter
(v)

chord

Question 3

3.

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

(i)

circumference
(ii)

chord
(iii)

centre
(iv)

diameter
(v)

semi-circle

Question 4

4.

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

(i)

centre
(ii)

chord
(iii)

circumference
(iv)

diameter
(v)

segment

Question 5

5.

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

(i)

major segment
(ii)

chord
(iii)

segment
(iv)

centre
(v)

radius

Question 6

6.

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

(i)

segment
(ii)

semi-circle
(iii)

major segment
(iv)

diameter
(v)

radius

Question 7

7.

Half of a circle is called

(i)

diameter
(ii)

circumference
(iii)

radius
(iv)

major segment
(v)

semi-circle

Question 8

8.

The perimeter of a circle is called

(i)

centre
(ii)

diameter
(iii)

segment
(iv)

radius
(v)

circumference

Question 9

9.

Which of the following statements are true?

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

(i)

{e,c}
(ii)

{b,e,d}
(iii)

{a,c,d}
(iv)

{b,a}
(v)

{b,a,c}

Question 10

10.

Which of the following statements are true?

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

(i)

{a,b,c}
(ii)

{d,a}
(iii)

{d,a,b}
(iv)

{d,e,c}
(v)

{e,b}

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

(i)

{c,d}
(ii)

{b,d}
(iii)

{c,d,b}
(iv)

{a,b}
(v)

{e,a,b}

Question 12

12.

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

(i)

13 cm
(ii)

16 cm
(iii)

14 cm
(iv)

12 cm
(v)

15 cm

Question 13

13.

If the radius of a circle is 21 cm, what is its diameter?

(i)

42 cm
(ii)

41 cm
(iii)

44 cm
(iv)

40 cm
(v)

43 cm

Question 14

14.

If the radius of a circle is 21 cm, what is its circumference?

(i)

131 cm
(ii)

132 cm
(iii)

130 cm
(iv)

134 cm
(v)

133 cm

Question 15

15.

Two circles with equal radii are

(i)

only similar but not congruent
(ii)

congruent
(iii)

not similar
(iv)

concentric

Question 16

16.

Identify the figure below

(i)

quadrilateral
(ii)

circle
(iii)

angle
(iv)

hexagon
(v)

heptagon

Question 17

17.

The centre of the circle is

(i)

K
(ii)

O
(iii)

J
(iv)

I
(v)

L

Question 18

18.

The chords of the circle are

(i)

JK

,

KL

,

LM

,

MN

,

NJ
(ii)

JK

,

KL

,

LM

,

MN

,

NJ

,

LN

(iii)

JK

,

KL

,

LM

,

MN

,

NJ

,

ON

(iv)

KL

,

LM

,

MN

,

NJ
(v)

OJ

,

OK

,

OL

,

OM

,

ON

Question 19

19.

The diameters of the circle are

(i)

CD

,

DE

,

EF

,

FG

,

GH

,

HC

,

FH

(ii)

CD

,

DE

,

EF

,

FG

,

GH

,

HC
(iii)

FH
(iv)

IC

,

ID

,

IE

,

IF

,

IG

,

IH

(v)

IC

,

ID

,

IE

,

IF

,

IG

,

IH

,

FH

Question 20

20.

The radii of the circle are

(i)

FA

,

FB

,

FC

,

FD

,

FE
(ii)

AB

,

BC

,

CD

,

DE

,

EA

(iii)

AB

,

BC

,

CD

,

DE

,

EA

,

FE

(iv)

BC

,

CD

,

DE

,

EA
(v)

AB

,

BC

,

CD

,

DE

,

EA

,

CE

Question 21

21.

The minor sector of the circle is

(i)

FIG
(ii)

FHGJF
(iii)

KFHGK
(iv)

FIGJF
(v)

FHG

Question 22

22.

The major sector of the circle is

(i)

EGF
(ii)

EHF
(iii)

EHFIE
(iv)

EGFIE
(v)

JEHFJ

Question 23

23.

The minor arc of the circle is

(i)

HKILH
(ii)

HJI
(iii)

HJILH
(iv)

MHKIM
(v)

MHJIM

Question 24

24.

The major arc of the circle is

(i)

ILJ
(ii)

NILJN
(iii)

IKJMI
(iv)

NIKJN
(v)

IKJ

Question 25

25.

The minor segment of the circle is

(i)

DGE
(ii)

IDGEI
(iii)

DFEHD
(iv)

DFE
(v)

IDFEI

Question 26

26.

The major segment of the circle is

(i)

BECFB
(ii)

BDC
(iii)

BEC
(iv)

BDCFB
(v)

GBDCG

Question 27

27.

Find the points belonging to the circle

(i)

{C,F}
(ii)

{B,E}
(iii)

{A,B}
(iv)

{A,D}
(v)

{D,C}

Question 28

28.

Find the points belonging to the inside of the circle

(i)

{K,N}
(ii)

{J,I}
(iii)

{N,M}
(iv)

{J,M}
(v)

{I,L}

Question 29

29.

Find the points belonging to the outside of the circle

(i)

{K,N,Q}
(ii)

{I,L,O}
(iii)

{N,J,K}
(iv)

{Q,L,N}
(v)

{J,M,P}

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)

inside the circle
(ii)

outside the circle
(iii)

on 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)

on the circle
(ii)

outside the circle
(iii)

inside 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)

outside the circle
(ii)

inside the circle
(iii)

on the circle

Question 33

33.

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

(i)

segment
(ii)

secant
(iii)

diameter
(iv)

chord
(v)

circumference

Question 34

34.

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

(i)

tangent
(ii)

semi-circle
(iii)

centre
(iv)

chord
(v)

circumference

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)

semi-circle
(ii)

quadrant
(iii)

tangent
(iv)

centre
(v)

radius

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 diameter is the longest chord.
c)	A chord divides a circle into two sectors.
d)	The radius is the shortest chord.
e)	A chord divides a circle into two segments.

(i)

{c,e}
(ii)

{c,e,b}
(iii)

{b,e}
(iv)

{a,b}
(v)

{d,a,b}

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

(i)

{b,d,e}
(ii)

{d,c}
(iii)

{a,c,e}
(iv)

{b,a,c}
(v)

{b,a}

Question 38

38.

Which of the following statements are true?

a)	The area enclosed by a chord and its minor arc is called minor segment.
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 area enclosed by a chord and its major arc is called major segment.
e)	A circle divides the plane on which it lies into three parts.

(i)

{b,a,d}
(ii)

{c,d}
(iii)

{b,c,e}
(iv)

{b,a}
(v)

{a,d,e}

Question 39

39.

Which of the following statements are true?

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

(i)

{d,b,a}
(ii)

{e,c,a}
(iii)

{c,a}
(iv)

{d,b}
(v)

{a,b}

Question 40

40.

Which of the following statements are true?

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

(i)

{c,e}
(ii)

{d,a,c}
(iii)

{a,c}
(iv)

{b,e}
(v)

{b,e,c}

Question 41

41.

Which of the following statements are true?

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

(i)

{e,c,a}
(ii)

{d,b}
(iii)

{c,a}
(iv)

{d,b,a}
(v)

{a,b}

Question 42

42.

Which of the following statements are true?

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

(i)

{a,f,d}
(ii)

{c,e,d}
(iii)

{b,f}
(iv)

{d,f}
(v)

{a,d}

Question 43

43.

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

(i)

incentre
(ii)

excentre
(iii)

centroid
(iv)

circumcentre
(v)

orthocentre

Question 44

44.

The angle subtended by the semicircle at the centre is

(i)

185°
(ii)

180°
(iii)

195°
(iv)

210°
(v)

190°

Question 45

45.

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

(i)

95°
(ii)

90°
(iii)

105°
(iv)

100°
(v)

120°

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)

equilateral triangle
(iii)

acute angled triangle
(iv)

right angle triangle

Question 47

47.

Circles having common centre are called

(i)

intersecting circles
(ii)

congruent circles
(iii)

concentric circles
(iv)

similar circles

Question 48

48.

If two circles are concentric, then

(i)

their perimeters are same
(ii)

their centres are same
(iii)

their radii are same
(iv)

their diameters are same

Question 49

49.

Which of the following figures represent a chord ?

(i)

fig I
(ii)

fig II
(iii)

fig III
(iv)

fig IV
(v)

fig V

Question 50

50.

Which of the following figures represent a diameter ?

(i)

fig I
(ii)

fig II
(iii)

fig V
(iv)

fig III
(v)

fig IV

Question 51

51.

Which of the following figures represent a secant ?

(i)

fig V
(ii)

fig II
(iii)

fig I
(iv)

fig III
(v)

fig IV

Question 52

52.

Which of the following figures represent a tangent ?

(i)

fig IV
(ii)

fig III
(iii)

fig V
(iv)

fig I
(v)

fig II

Question 53

53.

With the vertices of a triangle △IJK as centres, three circles are drawn touching each other externally. If the sides of the triangle are 10 cm , 17 cm and 11 cm , find the radii of the circles

(i)

2 cm , 8 cm & 9 cm respectively
(ii)

2 cm , 8 cm & 14 cm respectively
(iii)

2 cm , 13 cm & 9 cm respectively
(iv)

7 cm , 13 cm & 14 cm respectively
(v)

7 cm , 8 cm & 9 cm respectively

Question 54

54.

In triangle GHI, if a circle is drawn with HI as diameter and if it passes through G it is a

(i)

right angle triangle
(ii)

acute angled triangle
(iii)

equilateral triangle
(iv)

obtuse angled triangle

Question 55

55.

Which of the following statements are true?

a)

All diameters of a circle are chords.

b)

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

c)

22
7
is a rational number.

d)

All chords of a circle are diameters.

e)

π
is a rational number.

(i)

{d,a}
(ii)

{e,b}
(iii)

{d,a,b}
(iv)

{d,e,c}
(v)

{a,b,c}

Question 56

56.

Points which lie on the circumference of the circle are called

(i)

Coincident points
(ii)

Cyclic points
(iii)

Concurrent points
(iv)

Similar points
(v)

Concyclic points

Assignment Key