EduSahara™ Worksheet

Question 1

1.

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

(i)

circumference
(ii)

centre
(iii)

chord
(iv)

semi-circle
(v)

diameter

Question 2

2.

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

(i)

semi-circle
(ii)

radius
(iii)

segment
(iv)

major segment
(v)

chord

Question 3

3.

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

(i)

segment
(ii)

chord
(iii)

major segment
(iv)

circumference
(v)

diameter

Question 4

4.

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

(i)

centre
(ii)

circumference
(iii)

semi-circle
(iv)

major segment
(v)

diameter

Question 5

5.

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

(i)

semi-circle
(ii)

major segment
(iii)

centre
(iv)

segment
(v)

radius

Question 6

6.

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

(i)

radius
(ii)

segment
(iii)

major segment
(iv)

centre
(v)

chord

Question 7

7.

Half of a circle is called

(i)

segment
(ii)

chord
(iii)

circumference
(iv)

diameter
(v)

semi-circle

Question 8

8.

The perimeter of a circle is called

(i)

diameter
(ii)

major segment
(iii)

segment
(iv)

circumference
(v)

radius

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)	Every circle has a unique diameter.
d)	Every circle has a unique centre.
e)	Each radius of a circle is also a chord of the circle.

(i)

{c,a}
(ii)

{c,e,d}
(iii)

{e,b}
(iv)

{c,a,b}
(v)

{a,b,d}

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)	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)	Two semi-circles of a circle together make the whole circle.

(i)

{d,c}
(ii)

{a,c,e}
(iii)

{b,d,e}
(iv)

{b,a}
(v)

{b,a,c}

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

(i)

{e,a,b}
(ii)

{d,c}
(iii)

{b,c}
(iv)

{a,b}
(v)

{d,c,b}

Question 12

12.

In the given triangle S is the circumcentre. If SE = 12.00 cm, find the circumference of the circumcircle

(i)

74.4 cm
(ii)

77.4 cm
(iii)

75.4 cm
(iv)

73.4 cm
(v)

76.4 cm

Question 13

13.

Identify the figure below

(i)

decagon
(ii)

hexagon
(iii)

circle
(iv)

nonagon
(v)

quadrilateral

Question 14

14.

The centre of the circle is

(i)

N
(ii)

J
(iii)

H
(iv)

I
(v)

K

Question 15

15.

The chords of the circle are

(i)

HI

,

IJ

,

JK

,

KG
(ii)

GH

,

HI

,

IJ

,

JK

,

KG

,

IK

(iii)

GH

,

HI

,

IJ

,

JK

,

KG

,

LK

(iv)

LG

,

LH

,

LI

,

LJ

,

LK
(v)

GH

,

HI

,

IJ

,

JK

,

KG

Question 16

16.

The diameters of the circle are

(i)

GI
(ii)

EF

,

FG

,

GH

,

HI

,

IE
(iii)

JE

,

JF

,

JG

,

JH

,

JI
(iv)

EF

,

FG

,

GH

,

HI

,

IE

,

GI
(v)

JE

,

JF

,

JG

,

JH

,

JI

,

GI

Question 17

17.

The radii of the circle are

(i)

AB

,

BC

,

CD

,

DE

,

EA
(ii)

AB

,

BC

,

CD

,

DE

,

EA

,

CE

(iii)

AB

,

BC

,

CD

,

DE

,

EA

,

FA

(iv)

FA

,

FB

,

FC

,

FD

,

FE
(v)

BC

,

CD

,

DE

,

EA

Question 18

18.

The minor sector of the circle is

(i)

BDC
(ii)

BDCFB
(iii)

GBECG
(iv)

BECFB
(v)

GBDCG

Question 19

19.

The major sector of the circle is

(i)

OJMKO
(ii)

JLK
(iii)

JLKNJ
(iv)

OJLKO
(v)

JMK

Question 20

20.

The minor arc of the circle is

(i)

HKILH
(ii)

HKI
(iii)

HJILH
(iv)

HJI
(v)

MHKIM

Question 21

21.

The major arc of the circle is

(i)

KFHGK
(ii)

KFIGK
(iii)

FIGJF
(iv)

FIG
(v)

FHG

Question 22

22.

The minor segment of the circle is

(i)

IDFEI
(ii)

DFEHD
(iii)

DGEHD
(iv)

DGE
(v)

DFE

Question 23

23.

The major segment of the circle is

(i)

GBDCG
(ii)

BDC
(iii)

BDCFB
(iv)

BECFB
(v)

BEC

Question 24

24.

The distance around the circle is called

(i)

chord
(ii)

radius
(iii)

circumference
(iv)

arc
(v)

diameter

Question 25

25.

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

(i)

semi-circle
(ii)

secant
(iii)

major segment
(iv)

radius
(v)

centre

Question 26

26.

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

(i)

tangent
(ii)

major segment
(iii)

segment
(iv)

quadrant
(v)

chord

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)

circumference
(ii)

chord
(iii)

centre
(iv)

quadrant
(v)

radius

Question 28

28.

Which of the following statements are true?

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

(i)

{a,b}
(ii)

{d,b}
(iii)

{e,c,a}
(iv)

{c,a}
(v)

{d,b,a}

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)	No two chords bisects each other.
c)	The longest chord of the circle passes through the centre of the circle.
d)	Equal length chords subtend equal angles at the centre of the circle.
e)	Equal length chords are equidistant from the centre of the circle.

(i)

{a,b,e}
(ii)

{b,d}
(iii)

{a,c}
(iv)

{a,c,d}
(v)

{c,d,e}

Question 30

30.

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

(i)

{d,b}
(ii)

{a,b,e}
(iii)

{c,a}
(iv)

{c,a,b}
(v)

{c,d,e}

Question 31

31.

Which of the following statements are true?

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

(i)

{c,e}
(ii)

{b,e}
(iii)

{a,c}
(iv)

{d,a,c}
(v)

{b,e,c}

Question 32

32.

Which of the following statements are true?

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

(i)

{b,d}
(ii)

{c,d,b}
(iii)

{e,a,b}
(iv)

{c,d}
(v)

{a,b}

Question 33

33.

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 passing through two points.
d)	Atmost one circle can be drawn passing through three non-collinear points.
e)	Only one circle can be drawn with a centre.

(i)

{a,d}
(ii)

{c,d}
(iii)

{b,a}
(iv)

{e,b,a}
(v)

{c,d,a}

Question 34

34.

Which of the following statements are true?

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

(i)

{a,c}
(ii)

{e,b,a}
(iii)

{d,c,a}
(iv)

{d,c}
(v)

{b,a}

Question 35

35.

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

(i)

excentre
(ii)

centroid
(iii)

incentre
(iv)

circumcentre
(v)

orthocentre

Question 36

36.

GH , IJ , KL , MN are chords of a circle with GH = 6 cm , IJ = 4 cm , KL = 5.6 cm and MN = 7.08 cm. The chord farthest from the centre of the circle is

(i)

IJ = 4 cm
(ii)

MN = 7.08 cm
(iii)

GH = 6 cm
(iv)

KL = 5.6 cm

Question 37

37.

Circles having common centre are called

(i)

similar circles
(ii)

congruent circles
(iii)

concentric circles
(iv)

intersecting 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 V
(iii)

fig IV
(iv)

fig II
(v)

fig III

Question 40

40.

Which of the following figures represent a diameter ?

(i)

fig IV
(ii)

fig II
(iii)

fig I
(iv)

fig III
(v)

fig V

Question 41

41.

Which of the following figures represent a secant ?

(i)

fig V
(ii)

fig IV
(iii)

fig II
(iv)

fig I
(v)

fig III

Question 42

42.

Which of the following figures represent a tangent ?

(i)

fig II
(ii)

fig I
(iii)

fig V
(iv)

fig III
(v)

fig IV

Question 43

43.

Which of the following statements are true?

a)

π
is a rational number.

b)

All diameters of a circle are chords.

c)

All chords of a circle are diameters.

d)

22
7
is a rational number.

e)

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

(i)

{b,d,e}
(ii)

{a,b}
(iii)

{a,c,e}
(iv)

{a,b,d}
(v)

{c,d}

Question 44

44.

Points which lie on the circumference of the circle are called

(i)

Concurrent points
(ii)

Similar points
(iii)

Concyclic points
(iv)

Coincident points
(v)

Cyclic points

Question 45

45.

The angle subtended by the semicircle at the centre is

(i)

195°
(ii)

210°
(iii)

180°
(iv)

190°
(v)

185°

Question 46

46.

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

(i)

90°
(ii)

95°
(iii)

100°
(iv)

105°
(v)

120°

Question 47

47.

If the radius of the circumcircle is half the length of a side of the triangle, then the triangle is

(i)

acute angled triangle
(ii)

obtuse angled triangle
(iii)

equilateral triangle
(iv)

right angle triangle

Question 48

48.

Which of the following statements are true?

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

(i)

{c,e,d}
(ii)

{c,a}
(iii)

{a,b,d}
(iv)

{e,b}
(v)

{c,a,b}

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)

equilateral triangle
(ii)

right angle triangle
(iii)

obtuse angled triangle
(iv)

acute angled triangle

Assignment Key