EduSahara™ Worksheet

Question 1

1.

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

(i)

centre
(ii)

segment
(iii)

chord
(iv)

major segment
(v)

diameter

Question 2

2.

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

(i)

centre
(ii)

semi-circle
(iii)

diameter
(iv)

radius
(v)

circumference

Question 3

3.

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

(i)

diameter
(ii)

chord
(iii)

segment
(iv)

semi-circle
(v)

major segment

Question 4

4.

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

(i)

major segment
(ii)

diameter
(iii)

circumference
(iv)

chord
(v)

centre

Question 5

5.

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

(i)

segment
(ii)

semi-circle
(iii)

chord
(iv)

diameter
(v)

centre

Question 6

6.

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

(i)

radius
(ii)

segment
(iii)

diameter
(iv)

major segment
(v)

chord

Question 7

7.

Half of a circle is called

(i)

centre
(ii)

segment
(iii)

diameter
(iv)

semi-circle
(v)

circumference

Question 8

8.

The perimeter of a circle is called

(i)

diameter
(ii)

circumference
(iii)

radius
(iv)

major segment
(v)

semi-circle

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,d}
(ii)

{b,d}
(iii)

{a,b,e}
(iv)

{a,c}
(v)

{c,d,e}

Question 10

10.

Which of the following statements are true?

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

(i)

{b,d}
(ii)

{a,c,d}
(iii)

{a,c}
(iv)

{a,b,e}
(v)

{c,d,e}

Question 11

11.

Which of the following statements are true?

a)	Diameter of a circle is a part of the semi-circle of the circle.
b)	A secant of a circle is a segment having its end points on 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)

{b,a}
(ii)

{c,e}
(iii)

{c,e,a}
(iv)

{d,b,a}
(v)

{a,e}

Question 12

12.

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

(i)

86 cm
(ii)

82 cm
(iii)

83 cm
(iv)

84 cm
(v)

85 cm

Question 13

13.

Two circles with equal radii are

(i)

not similar
(ii)

congruent
(iii)

concentric
(iv)

only similar but not congruent

Question 14

14.

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

(i)

105°
(ii)

100°
(iii)

120°
(iv)

90°
(v)

95°

Question 15

15.

Identify the figure below

(i)

quadrilateral
(ii)

circle
(iii)

heptagon
(iv)

octagon
(v)

angle

Question 16

16.

The centre of the circle is

(i)

K
(ii)

J
(iii)

L
(iv)

I
(v)

N

Question 17

17.

The chords of the circle are

(i)

JK

,

KL

,

LM

,

MN

,

NJ
(ii)

JK

,

KL

,

LM

,

MN

,

NJ

,

ON
(iii)

OJ

,

OK

,

OL

,

OM

,

ON
(iv)

JK

,

KL

,

LM

,

MN

,

NJ

,

LN
(v)

KL

,

LM

,

MN

,

NJ

Question 18

18.

The diameters of the circle are

(i)

OQ
(ii)

MN

,

NO

,

OP

,

PQ

,

QM

(iii)

MN

,

NO

,

OP

,

PQ

,

QM

,

OQ

(iv)

RM

,

RN

,

RO

,

RP

,

RQ
(v)

RM

,

RN

,

RO

,

RP

,

RQ

,

OQ

Question 19

19.

The radii of the circle are

(i)

KL

,

LM

,

MN

,

NO

,

OK
(ii)

PK

,

PL

,

PM

,

PN

,

PO

(iii)

KL

,

LM

,

MN

,

NO

,

OK

,

MO

(iv)

KL

,

LM

,

MN

,

NO

,

OK

,

PM
(v)

LM

,

MN

,

NO

,

OK

Question 20

20.

The minor sector of the circle is

(i)

GJHKG
(ii)

GJH
(iii)

LGIHL
(iv)

LGJHL
(v)

GIH

Question 21

21.

The major sector of the circle is

(i)

DFEHD
(ii)

DFE
(iii)

IDFEI
(iv)

DGE
(v)

IDGEI

Question 22

22.

The minor arc of the circle is

(i)

ACB
(ii)

FACBF
(iii)

ADB
(iv)

ADBEA
(v)

ACBEA

Question 23

23.

The major arc of the circle is

(i)

BECFB
(ii)

BDCFB
(iii)

BEC
(iv)

BDC
(v)

GBECG

Question 24

24.

The minor segment of the circle is

(i)

PKNLP
(ii)

KNLOK
(iii)

PKMLP
(iv)

KML
(v)

KMLOK

Question 25

25.

The major segment of the circle is

(i)

FIG
(ii)

FIGJF
(iii)

FHG
(iv)

KFIGK
(v)

FHGJF

Question 26

26.

The distance around the circle is called

(i)

radius
(ii)

chord
(iii)

arc
(iv)

circumference
(v)

diameter

Question 27

27.

Find the points belonging to the circle

(i)

{L,O}
(ii)

{J,M}
(iii)

{J,N}
(iv)

{K,N}
(v)

{J,O}

Question 28

28.

Find the points belonging to the inside of the circle

(i)

{D,G}
(ii)

{E,G}
(iii)

{I,E}
(iv)

{E,H}
(v)

{F,I}

Question 29

29.

Find the points belonging to the outside of the circle

(i)

{P,N}
(ii)

{N,L}
(iii)

{L,O}
(iv)

{N,Q}
(v)

{M,P}

Question 30

30.

Which of the following statements are true?

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

(i)

{d,c,b}
(ii)

{b,c}
(iii)

{a,b}
(iv)

{e,a,b}
(v)

{d,c}

Question 31

31.

Which of the following statements are true?

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

(i)

{a,c,d}
(ii)

{b,a,c}
(iii)

{e,c}
(iv)

{b,a}
(v)

{b,e,d}

Question 32

32.

Which of the following statements are true?

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

(i)

{a,b,c}
(ii)

{d,a,b}
(iii)

{d,e,c}
(iv)

{e,b}
(v)

{d,a}

Question 33

33.

Which of the following statements are true?

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

(i)

{a,c}
(ii)

{b,e}
(iii)

{d,a,c}
(iv)

{c,e}
(v)

{b,e,c}

Question 34

34.

Which of the following statements are true?

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

(i)

{c,d}
(ii)

{a,d}
(iii)

{b,a}
(iv)

{c,d,a}
(v)

{e,b,a}

Question 35

35.

Which of the following statements are true?

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

(i)

{a,e}
(ii)

{d,b,a}
(iii)

{c,e,a}
(iv)

{b,a}
(v)

{c,e}

Question 36

36.

Which of the following statements are true?

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