EduSahara™ Worksheet

Question 1

1.

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

(i)

major segment
(ii)

segment
(iii)

diameter
(iv)

centre
(v)

semi-circle

Question 2

2.

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

(i)

semi-circle
(ii)

major segment
(iii)

diameter
(iv)

centre
(v)

radius

Question 3

3.

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

(i)

circumference
(ii)

chord
(iii)

semi-circle
(iv)

centre
(v)

diameter

Question 4

4.

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

(i)

semi-circle
(ii)

major segment
(iii)

segment
(iv)

diameter
(v)

chord

Question 5

5.

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

(i)

centre
(ii)

semi-circle
(iii)

major segment
(iv)

diameter
(v)

segment

Question 6

6.

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

(i)

semi-circle
(ii)

circumference
(iii)

radius
(iv)

major segment
(v)

diameter

Question 7

7.

Half of a circle is called

(i)

segment
(ii)

circumference
(iii)

semi-circle
(iv)

radius
(v)

centre

Question 8

8.

The perimeter of a circle is called

(i)

chord
(ii)

diameter
(iii)

major segment
(iv)

circumference
(v)

radius

Question 9

9.

Which of the following statements are true?

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

(i)

{a,d,e}
(ii)

{a,b}
(iii)

{b,c,e}
(iv)

{d,c}
(v)

{a,b,c}

Question 10

10.

Which of the following statements are true?

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

(i)

{a,c,d}
(ii)

{b,a}
(iii)

{b,a,c}
(iv)

{b,e,d}
(v)

{e,c}

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

(i)

{a,b}
(ii)

{c,e,b}
(iii)

{b,e}
(iv)

{c,e}
(v)

{d,a,b}

Question 12

12.

If the radius of a circle is 49 cm, what is its diameter?

(i)

96 cm
(ii)

97 cm
(iii)

98 cm
(iv)

100 cm
(v)

99 cm

Question 13

13.

Two circles with equal radii are

(i)

congruent
(ii)

not similar
(iii)

only similar but not congruent
(iv)

concentric

Question 14

14.

The angle between a tangent to a circle and the radius drawn at the point of contact is

(i)

90°
(ii)

120°
(iii)

105°
(iv)

100°
(v)

95°

Question 15

15.

Identify the figure below

(i)

pentagon
(ii)

circle
(iii)

octagon
(iv)

nonagon
(v)

heptagon

Question 16

16.

The centre of the circle is

(i)

D
(ii)

G
(iii)

C
(iv)

B
(v)

E

Question 17

17.

The chords of the circle are

(i)

EF

,

FG

,

GH

,

HI

,

IJ

,

JE

,

HJ

(ii)

EF

,

FG

,

GH

,

HI

,

IJ

,

JE
(iii)

FG

,

GH

,

HI

,

IJ

,

JE
(iv)

KE

,

KF

,

KG

,

KH

,

KI

,

KJ

(v)

EF

,

FG

,

GH

,

HI

,

IJ

,

JE

,

KJ

Question 18

18.

The diameters of the circle are

(i)

FH
(ii)

ID

,

IE

,

IF

,

IG

,

IH

,

FH

(iii)

DE

,

EF

,

FG

,

GH

,

HD

,

FH

(iv)

ID

,

IE

,

IF

,

IG

,

IH
(v)

DE

,

EF

,

FG

,

GH

,

HD

Question 19

19.

The radii of the circle are

(i)

KL

,

LM

,

MN

,

NO

,

OP

,

PK

,

NP

(ii)

LM

,

MN

,

NO

,

OP

,

PK

(iii)

KL

,

LM

,

MN

,

NO

,

OP

,

PK

(iv)

QK

,

QL

,

QM

,

QN

,

QO

,

QP

(v)

KL

,

LM

,

MN

,

NO

,

OP

,

PK

,

QP

Question 20

20.

The minor sector of the circle is

(i)

EHFIE
(ii)

EGFIE
(iii)

EGF
(iv)

EHF
(v)

JEGFJ

Question 21

21.

The major sector of the circle is

(i)

FHG
(ii)

FIG
(iii)

KFIGK
(iv)

FHGJF
(v)

FIGJF

Question 22

22.

The minor arc of the circle is

(i)

FIGJF
(ii)

KFIGK
(iii)

FIG
(iv)

FHG
(v)

FHGJF

Question 23

23.

The major arc of the circle is

(i)

CFD
(ii)

CFDGC
(iii)

CEDGC
(iv)

HCEDH
(v)

HCFDH

Question 24

24.

The minor segment of the circle is

(i)

NIKJN
(ii)

ILJMI
(iii)

ILJ
(iv)

NILJN
(v)

IKJMI

Question 25

25.

The major segment of the circle is

(i)

HKILH
(ii)

HJI
(iii)

MHJIM
(iv)

HKI
(v)

MHKIM

Question 26

26.

The distance around the circle is called

(i)

circumference
(ii)

chord
(iii)

diameter
(iv)

arc
(v)

radius

Question 27

27.

Find the points belonging to the circle

(i)

{R,Q}
(ii)

{P,S}
(iii)

{N,Q}
(iv)

{P,Q}
(v)

{O,R}

Question 28

28.

Find the points belonging to the inside of the circle

(i)

{K,N,Q}
(ii)

{L,S,O}
(iii)

{M,P,S}
(iv)

{L,O,R}
(v)

{N,L,O}

Question 29

29.

Find the points belonging to the outside of the circle

(i)

{J,M,P}
(ii)

{H,K,N}
(iii)

{J,M,L}
(iv)

{K,M,J}
(v)

{I,L,O}

Question 30

30.

Which of the following statements are true?

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

{b,d}
(ii)

{a,c}
(iii)

{e,a,c}
(iv)

{b,d,c}
(v)

{c,d}

Question 31

31.

Which of the following statements are true?

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

(i)

{e,b}
(ii)

{c,a,b}
(iii)

{c,e,d}
(iv)

{a,b,d}
(v)

{c,a}

Question 32

32.

Which of the following statements are true?

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

(i)

{e,b}
(ii)

{d,a}
(iii)

{a,b,c}
(iv)

{d,a,b}
(v)

{d,e,c}

Question 33

33.

Which of the following statements are true?

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

(i)

{c,e,a}
(ii)

{a,e}
(iii)

{d,b,a}
(iv)

{c,e}
(v)

{b,a}

Question 34

34.

Which of the following statements are true?

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

(i)

{c,e,a}
(ii)

{c,e}
(iii)

{d,b,a}
(iv)

{b,a}
(v)

{a,e}

Question 35

35.

Which of the following statements are true?

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

(i)

{c,e}
(ii)

{b,e,c}
(iii)

{a,c}
(iv)

{d,a,c}
(v)

{b,e}

Question 36

36.

Which of the following statements are true?

a)	Two tangents to a circle always intersect.
b)	Only two tangents can be drawn from a point outside the circle.
c)	Atmost one tangent can be drawn through a point inside the circle.
d)	The sides of a triangle can be tangents to a circle.
e)	Only one tangent can be drawn through a point on a circle.