EduSahara™ Worksheet

Question 1

1.

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

(i)

circumference
(ii)

chord
(iii)

centre
(iv)

major segment
(v)

semi-circle

Question 2

2.

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

(i)

semi-circle
(ii)

circumference
(iii)

radius
(iv)

chord
(v)

major segment

Question 3

3.

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

(i)

chord
(ii)

segment
(iii)

circumference
(iv)

radius
(v)

centre

Question 4

4.

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

(i)

segment
(ii)

major segment
(iii)

circumference
(iv)

centre
(v)

diameter

Question 5

5.

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

(i)

centre
(ii)

diameter
(iii)

major segment
(iv)

segment
(v)

semi-circle

Question 6

6.

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

(i)

centre
(ii)

segment
(iii)

chord
(iv)

major segment
(v)

circumference

Question 7

7.

Half of a circle is called

(i)

circumference
(ii)

radius
(iii)

semi-circle
(iv)

major segment
(v)

chord

Question 8

8.

The perimeter of a circle is called

(i)

major segment
(ii)

radius
(iii)

diameter
(iv)

centre
(v)

circumference

Question 9

9.

Which of the following statements are true?

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

(i)

{c,e,d}
(ii)

{e,b}
(iii)

{a,b,d}
(iv)

{c,a,b}
(v)

{c,a}

Question 10

10.

Which of the following statements are true?

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

(i)

{b,a,c}
(ii)

{a,c,e}
(iii)

{b,d,e}
(iv)

{b,a}
(v)

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

(i)

{b,e,c}
(ii)

{c,e}
(iii)

{d,a,c}
(iv)

{b,e}
(v)

{a,c}

Question 12

12.

In the given triangle S is the circumcentre. If SA = 12.10 cm, find the circumference of the circumcircle

(i)

76.1 cm
(ii)

78.1 cm
(iii)

74.1 cm
(iv)

77.1 cm
(v)

75.1 cm

Question 13

13.

Identify the figure below

(i)

heptagon
(ii)

triangle
(iii)

pentagon
(iv)

decagon
(v)

circle

Question 14

14.

The centre of the circle is

(i)

I
(ii)

E
(iii)

G
(iv)

D
(v)

F

Question 15

15.

The chords of the circle are

(i)

FG

,

GH

,

HI

,

IJ

,

JF

,

HJ
(ii)

GH

,

HI

,

IJ

,

JF

(iii)

FG

,

GH

,

HI

,

IJ

,

JF

,

KF

(iv)

KF

,

KG

,

KH

,

KI

,

KJ
(v)

FG

,

GH

,

HI

,

IJ

,

JF

Question 16

16.

The diameters of the circle are

(i)

EF

,

FG

,

GH

,

HI

,

IE

,

GI
(ii)

JE

,

JF

,

JG

,

JH

,

JI
(iii)

GI
(iv)

JE

,

JF

,

JG

,

JH

,

JI

,

GI
(v)

EF

,

FG

,

GH

,

HI

,

IE

Question 17

17.

The radii of the circle are

(i)

MN

,

NO

,

OP

,

PQ

,

QM

,

RN
(ii)

NO

,

OP

,

PQ

,

QM
(iii)

MN

,

NO

,

OP

,

PQ

,

QM
(iv)

MN

,

NO

,

OP

,

PQ

,

QM

,

OQ
(v)

RM

,

RN

,

RO

,

RP

,

RQ

Question 18

18.

The minor sector of the circle is

(i)

DFE
(ii)

IDGEI
(iii)

IDFEI
(iv)

DGEHD
(v)

DGE

Question 19

19.

The major sector of the circle is

(i)

OJMKO
(ii)

JMK
(iii)

OJLKO
(iv)

JMKNJ
(v)

JLK

Question 20

20.

The minor arc of the circle is

(i)

ILJ
(ii)

ILJMI
(iii)

IKJ
(iv)

NILJN
(v)

IKJMI

Question 21

21.

The major arc of the circle is

(i)

JMK
(ii)

JMKNJ
(iii)

JLKNJ
(iv)

OJMKO
(v)

JLK

Question 22

22.

The minor segment of the circle is

(i)

NIKJN
(ii)

NILJN
(iii)

IKJMI
(iv)

ILJMI
(v)

ILJ

Question 23

23.

The major segment of the circle is

(i)

JEGFJ
(ii)

EHFIE
(iii)

EHF
(iv)

EGFIE
(v)

EGF

Question 24

24.

The distance around the circle is called

(i)

diameter
(ii)

chord
(iii)

radius
(iv)

arc
(v)

circumference

Question 25

25.

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

(i)

semi-circle
(ii)

chord
(iii)

secant
(iv)

tangent
(v)

segment

Question 26

26.

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

(i)

chord
(ii)

segment
(iii)

quadrant
(iv)

tangent
(v)

circumference

Question 27

27.

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)

quadrant
(ii)

radius
(iii)

secant
(iv)

chord
(v)

diameter

Question 28

28.

Which of the following statements are true?

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

(i)

{e,c,a}
(ii)

{c,a}
(iii)

{d,b,a}
(iv)

{d,b}
(v)

{a,b}

Question 29

29.

Which of the following statements are true?

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

(i)

{b,d,e}
(ii)

{a,b,d}
(iii)

{a,c,e}
(iv)

{a,b}
(v)

{c,d}

Question 30

30.

Which of the following statements are true?

a)	The diameter divides the circle into two unequal 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)	A sector is the area enclosed by two radii and a chord.
e)	A circle divides the plane on which it lies into three parts.

(i)

{a,d,e}
(ii)

{b,c,e}
(iii)

{d,c}
(iv)

{a,b,c}
(v)

{a,b}

Question 31

31.

Which of the following statements are true?

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

(i)

{b,e}
(ii)

{a,b}
(iii)

{d,a,b}
(iv)

{c,e}
(v)

{c,e,b}

Question 32

32.

Which of the following statements are true?

a)	If a rhombus is cyclic, it is a square.
b)	If a parallelogram is cyclic, it is a rectangle.
c)	If a trapezium is cyclic, it is a rectangle.
d)	A cyclic quadrilateral is a regular polygon.
e)	If a kite is cyclic, it is a square.

(i)

{d,b,a}
(ii)

{d,b}
(iii)

{a,b}
(iv)

{e,c,a}
(v)

{c,a}

Question 33

33.

Which of the following statements are true?

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

(i)

{e,a,c}
(ii)

{c,d}
(iii)

{b,d}
(iv)

{a,c}
(v)

{b,d,c}

Question 34

34.

Which of the following statements are true?

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

(i)

{c,e,a}
(ii)

{c,e}
(iii)

{d,b,a}
(iv)

{b,a}
(v)

{a,e}

Question 35

35.

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

(i)

orthocentre
(ii)

circumcentre
(iii)

centroid
(iv)

excentre
(v)

incentre

Question 36

36.

IJ , KL , MN , OP are chords of a circle with IJ = 5 cm , KL = 3 cm , MN = 5.1 cm and OP = 5.03 cm. The chord farthest from the centre of the circle is

(i)

OP = 5.03 cm
(ii)

MN = 5.1 cm
(iii)

IJ = 5 cm
(iv)

KL = 3 cm

Question 37

37.

Circles having common centre are called

(i)

congruent circles
(ii)

concentric circles
(iii)

intersecting circles
(iv)

similar circles

Question 38

38.

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 39

39.

Which of the following figures represent a chord ?

(i)

fig IV
(ii)

fig II
(iii)

fig V
(iv)

fig I
(v)

fig III

Question 40

40.

Which of the following figures represent a diameter ?

(i)

fig III
(ii)

fig IV
(iii)

fig V
(iv)

fig I
(v)

fig II

Question 41

41.

Which of the following figures represent a secant ?

(i)

fig I
(ii)

fig V
(iii)

fig III
(iv)

fig IV
(v)

fig II

Question 42

42.

Which of the following figures represent a tangent ?

(i)

fig II
(ii)

fig I
(iii)

fig IV
(iv)

fig III
(v)

fig V

Question 43

43.

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)

{b,d}
(ii)

{a,b,e}
(iii)

{a,c}
(iv)

{a,c,d}
(v)

{c,d,e}

Question 44

44.

Points which lie on the circumference of the circle are called

(i)

Coincident points
(ii)

Similar points
(iii)

Concurrent points
(iv)

Cyclic points
(v)

Concyclic points

Question 45

45.

The angle subtended by the semicircle at the centre is

(i)

190°
(ii)

195°
(iii)

185°
(iv)

180°
(v)

210°

Question 46

46.

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

(i)

120°
(ii)

105°
(iii)

100°
(iv)

90°
(v)

95°

Question 47

47.

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)

acute angled triangle
(iv)

equilateral triangle

Question 48

48.

Which of the following statements are true?

a)	Angle subtended in the major segment is obtuse.
b)	If two chords are equal, then they are equidistant from the centre of the circle.
c)	Angle subtended by the major arc in its alternate segment is obtuse.
d)	Angle subtended by the major arc at the centre is acute.
e)	The angle subtended in a semicircle is a right angle.

(i)

{a,d,e}
(ii)

{b,c,e}
(iii)

{a,b,c}
(iv)

{d,c}
(v)

{a,b}

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)

acute angled triangle
(ii)

equilateral triangle
(iii)

obtuse angled triangle
(iv)

right angle triangle

Assignment Key