EduSahara™ Worksheet

Question 1

1.

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

(i)

centre
(ii)

diameter
(iii)

chord
(iv)

circumference
(v)

radius

Question 2

2.

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

(i)

diameter
(ii)

semi-circle
(iii)

centre
(iv)

segment
(v)

radius

Question 3

3.

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

(i)

circumference
(ii)

major segment
(iii)

chord
(iv)

centre
(v)

semi-circle

Question 4

4.

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

(i)

circumference
(ii)

major segment
(iii)

segment
(iv)

diameter
(v)

centre

Question 5

5.

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

(i)

circumference
(ii)

chord
(iii)

centre
(iv)

major segment
(v)

segment

Question 6

6.

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

(i)

major segment
(ii)

centre
(iii)

segment
(iv)

chord
(v)

circumference

Question 7

7.

Half of a circle is called

(i)

diameter
(ii)

centre
(iii)

semi-circle
(iv)

radius
(v)

segment

Question 8

8.

The perimeter of a circle is called

(i)

major segment
(ii)

radius
(iii)

circumference
(iv)

chord
(v)

diameter

Question 9

9.

Which of the following statements are true?

a)	Every circle has a unique centre.
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 diameter.
e)	A circle consists of an infinite number of points.

(i)

{c,a,b}
(ii)

{c,d,e}
(iii)

{d,b}
(iv)

{c,a}
(v)

{a,b,e}

Question 10

10.

Which of the following statements are true?

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

(i)

{b,e,d}
(ii)

{b,a}
(iii)

{a,c,d}
(iv)

{b,a,c}
(v)

{e,c}

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)	One and only one tangent can be drawn to a circle from a point outside it.
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,a}
(ii)

{a,d}
(iii)

{c,d}
(iv)

{e,b,a}
(v)

{b,a}

Question 12

12.

In the given triangle S is the circumcentre. If SB = 13.50 cm, find the circumference of the circumcircle

(i)

84.9 cm
(ii)

82.9 cm
(iii)

86.9 cm
(iv)

85.9 cm
(v)

83.9 cm

Question 13

13.

Identify the figure below

(i)

heptagon
(ii)

pentagon
(iii)

circle
(iv)

hexagon
(v)

nonagon

Question 14

14.

The centre of the circle is

(i)

L
(ii)

Q
(iii)

N
(iv)

O
(v)

M

Question 15

15.

The chords of the circle are

(i)

JK

,

KL

,

LM

,

MN

,

NO

,

OJ

,

PK

(ii)

PJ

,

PK

,

PL

,

PM

,

PN

,

PO

(iii)

JK

,

KL

,

LM

,

MN

,

NO

,

OJ

,

MO

(iv)

KL

,

LM

,

MN

,

NO

,

OJ
(v)

JK

,

KL

,

LM

,

MN

,

NO

,

OJ

Question 16

16.

The diameters of the circle are

(i)

PK

,

PL

,

PM

,

PN

,

PO

,

MO
(ii)

MO
(iii)

PK

,

PL

,

PM

,

PN

,

PO
(iv)

KL

,

LM

,

MN

,

NO

,

OK
(v)

KL

,

LM

,

MN

,

NO

,

OK

,

MO

Question 17

17.

The radii of the circle are

(i)

OI

,

OJ

,

OK

,

OL

,

OM

,

ON
(ii)

JK

,

KL

,

LM

,

MN

,

NI

(iii)

IJ

,

JK

,

KL

,

LM

,

MN

,

NI

,

LN

(iv)

IJ

,

JK

,

KL

,

LM

,

MN

,

NI

(v)

IJ

,

JK

,

KL

,

LM

,

MN

,

NI

,

OL

Question 18

18.

The minor sector of the circle is

(i)

CED
(ii)

HCFDH
(iii)

HCEDH
(iv)

CFD
(v)

CEDGC

Question 19

19.

The major sector of the circle is

(i)

OJMKO
(ii)

JLKNJ
(iii)

JMK
(iv)

JMKNJ
(v)

OJLKO

Question 20

20.

The minor arc of the circle is

(i)

GJH
(ii)

GIHKG
(iii)

LGJHL
(iv)

GIH
(v)

LGIHL

Question 21

21.

The major arc of the circle is

(i)

PKNLP
(ii)

PKMLP
(iii)

KNL
(iv)

KMLOK
(v)

KML

Question 22

22.

The minor segment of the circle is

(i)

CEDGC
(ii)

CFD
(iii)

HCFDH
(iv)

CFDGC
(v)

HCEDH

Question 23

23.

The major segment of the circle is

(i)

OJMKO
(ii)

OJLKO
(iii)

JMKNJ
(iv)

JLK
(v)

JLKNJ

Question 24

24.

The distance around the circle is called

(i)

diameter
(ii)

arc
(iii)

circumference
(iv)

radius
(v)

chord

Question 25

25.

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

(i)

circumference
(ii)

centre
(iii)

radius
(iv)

secant
(v)

segment

Question 26

26.

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

(i)

circumference
(ii)

major segment
(iii)

tangent
(iv)

quadrant
(v)

secant

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)

centre
(ii)

quadrant
(iii)

secant
(iv)

diameter
(v)

major segment

Question 28

28.

Which of the following statements are true?

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

(i)

{c,d,a}
(ii)

{a,d}
(iii)

{e,b,a}
(iv)

{b,a}
(v)

{c,d}

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)	The longest chord of the circle passes through 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)	Equal length chords subtend equal angles at the centre of the circle.

(i)

{a,c,e}
(ii)

{b,d,e}
(iii)

{a,b,d}
(iv)

{c,d}
(v)

{a,b}

Question 30

30.

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)

{a,d,e}
(ii)

{c,d}
(iii)

{b,a,d}
(iv)

{b,a}
(v)

{b,c,e}

Question 31

31.

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)	The midpoint of any diameter of a circle is its centre.
d)	A sector is the area enclosed by two radii and a chord.
e)	Two chords bisect each other.

(i)

{a,c}
(ii)

{b,a}
(iii)

{d,c,a}
(iv)

{e,b,a}
(v)

{d,c}

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

(i)

{a,b}
(ii)

{c,a}
(iii)

{d,b,a}
(iv)

{d,b}
(v)

{e,c,a}

Question 33

33.

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)	Only one circle can be drawn with a centre.
d)	Infinite circles can be drawn passing through three collinear points.
e)	Only one circle can be drawn passing through two points.

(i)

{e,c,a}
(ii)

{d,b}
(iii)

{d,b,a}
(iv)

{c,a}
(v)

{a,b}

Question 34

34.

Which of the following statements are true?

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

(i)

{b,e,d}
(ii)

{b,e}
(iii)

{a,d}
(iv)

{d,e}
(v)

{c,a,d}

Question 35

35.

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

(i)

centroid
(ii)

orthocentre
(iii)

incentre
(iv)

circumcentre
(v)

excentre

Question 36

36.

IJ , KL , MN , OP are chords of a circle with IJ = 7 cm , KL = 2 cm , MN = 6.4 cm and OP = 7.09 cm. The chord farthest from the centre of the circle is

(i)

MN = 6.4 cm
(ii)

OP = 7.09 cm
(iii)

IJ = 7 cm
(iv)

KL = 2 cm

Question 37

37.

Circles having common centre are called

(i)

concentric circles
(ii)

similar circles
(iii)

intersecting circles
(iv)

congruent circles

Question 38

38.

If two circles are concentric, then

(i)

their centres are same
(ii)

their diameters are same
(iii)

their radii are same
(iv)

their perimeters are same

Question 39

39.

Which of the following figures represent a chord ?

(i)

fig I
(ii)

fig III
(iii)

fig V
(iv)

fig II
(v)

fig IV

Question 40

40.

Which of the following figures represent a diameter ?

(i)

fig III
(ii)

fig II
(iii)

fig IV
(iv)

fig V
(v)

fig I

Question 41

41.

Which of the following figures represent a secant ?

(i)

fig II
(ii)

fig V
(iii)

fig I
(iv)

fig IV
(v)

fig III

Question 42

42.

Which of the following figures represent a tangent ?

(i)

fig I
(ii)

fig IV
(iii)

fig III
(iv)

fig II
(v)

fig V

Question 43

43.

Which of the following statements are true?

a)

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

b)

All chords of a circle are diameters.

c)

22
7
is a rational number.

d)

π
is a rational number.

e)

All diameters of a circle are chords.

(i)

{b,d,e}
(ii)

{a,c,e}
(iii)

{b,a,c}
(iv)

{d,c}
(v)

{b,a}

Question 44

44.

Points which lie on the circumference of the circle are called

(i)

Concyclic points
(ii)

Similar points
(iii)

Cyclic points
(iv)

Concurrent points
(v)

Coincident points

Question 45

45.

The angle subtended by the semicircle at the centre is

(i)

180°
(ii)

195°
(iii)

210°
(iv)

185°
(v)

190°

Question 46

46.

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

(i)

120°
(ii)

90°
(iii)

100°
(iv)

105°
(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)

equilateral triangle
(ii)

right angle triangle
(iii)

acute angled triangle
(iv)

obtuse angled triangle

Question 48

48.

Which of the following statements are true?

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

(i)

{c,d}
(ii)

{a,b}
(iii)

{b,d,e}
(iv)

{a,b,d}
(v)

{a,c,e}

Question 49

49.

In triangle ABC, if a circle is drawn with BC as diameter and if it passes through A it is a

(i)

right angle triangle
(ii)

obtuse angled triangle
(iii)

acute angled triangle
(iv)

equilateral triangle

Assignment Key