EduSahara™ Worksheet

Question 1

1.

Find the side of the square in the following figure if the radius of the circle is 14.00 cm.

(i)

19.80 cm
(ii)

18.80 cm
(iii)

20.80 cm
(iv)

17.80 cm
(v)

21.80 cm

Question 2

2.

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

(i)

centre
(ii)

diameter
(iii)

major segment
(iv)

secant
(v)

radius

Question 3

3.

Which of the following figures represent a chord ?

(i)

fig III
(ii)

fig II
(iii)

fig I
(iv)

fig IV
(v)

fig V

Question 4

4.

Points which lie on the circumference of the circle are called

(i)

Concurrent points
(ii)

Cyclic points
(iii)

Concyclic points
(iv)

Coincident points
(v)

Similar points

Question 5

5.

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

(i)

diameter
(ii)

radius
(iii)

major segment
(iv)

semi-circle
(v)

centre

Question 6

6.

Which of the following statements are true?

a)	If a kite 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)	If a rhombus is cyclic, it is a square.
e)	A cyclic quadrilateral is a regular polygon.

(i)

{c,d}
(ii)

{b,d}
(iii)

{c,d,b}
(iv)

{a,b}
(v)

{e,a,b}

Question 7

7.

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

(i)

centre
(ii)

radius
(iii)

major segment
(iv)

semi-circle
(v)

chord

Question 8

8.

Circles having common centre are called

(i)

intersecting circles
(ii)

concentric circles
(iii)

congruent circles
(iv)

similar circles

Question 9

9.

Which of the following statements are true?

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

{d,c}
(ii)

{d,c,a}
(iii)

{e,b,a}
(iv)

{b,a}
(v)

{a,c}

Question 10

10.

In the given figure, O is the centre of the circle. E is a point on chord CD such that CE = ED. Find ∠OEC

(i)

100°
(ii)

105°
(iii)

120°
(iv)

95°
(v)

90°

Question 11

11.

The chords of the circle are

(i)

QL

,

QM

,

QN

,

QO

,

QP
(ii)

LM

,

MN

,

NO

,

OP

,

PL

,

QN
(iii)

LM

,

MN

,

NO

,

OP

,

PL
(iv)

MN

,

NO

,

OP

,

PL
(v)

LM

,

MN

,

NO

,

OP

,

PL

,

NP

Question 12

12.

With the vertices of a triangle △IJK as centres, three circles are drawn touching each other externally. If the sides of the triangle are 11 cm , 18 cm and 13 cm , find the radii of the circles

(i)

3 cm , 13 cm & 10 cm respectively
(ii)

8 cm , 13 cm & 15 cm respectively
(iii)

3 cm , 8 cm & 15 cm respectively
(iv)

8 cm , 8 cm & 10 cm respectively
(v)

3 cm , 8 cm & 10 cm respectively

Question 13

13.

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)

radius
(ii)

quadrant
(iii)

centre
(iv)

tangent
(v)

secant

Question 14

14.

In the given figure, EH & FG are two chords of equal length. Given ∠OFG = 49.5°, find ∠EOH

(i)

96°
(ii)

91°
(iii)

81°
(iv)

111°
(v)

86°

Question 15

15.

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

(i)

centre
(ii)

segment
(iii)

semi-circle
(iv)

radius
(v)

chord

Question 16

16.

The major arc of the circle is

(i)

PKMLP
(ii)

KMLOK
(iii)

KNL
(iv)

PKNLP
(v)

KNLOK

Question 17

17.

Which of the following figures represent a tangent ?

(i)

fig I
(ii)

fig II
(iii)

fig V
(iv)

fig IV
(v)

fig III

Question 18

18.

If two circles are concentric, then

(i)

their radii are same
(ii)

their diameters are same
(iii)

their perimeters are same
(iv)

their centres are same

Question 19

19.

In the given figure, two circles of radii CE = 11.6 cm & DE = 13.4 cm intersect at E & F. The distance between the centres CD = 20 cm, find the length of EF

(i)

12.94 cm
(ii)

16.94 cm
(iii)

13.94 cm
(iv)

15.94 cm
(v)

14.94 cm

Question 20

20.

In the given figure FH & GH are equal length chords of the circle. Find ∠HFG

(i)

55°
(ii)

60°
(iii)

50°
(iv)

45°
(v)

75°

Question 21

21.

Which of the following statements are true?

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

(i)

{a,b,d}
(ii)

{c,a}
(iii)

{c,e,d}
(iv)

{e,b}
(v)

{c,a,b}

Question 22

22.

The minor segment of the circle is

(i)

JLK
(ii)

OJLKO
(iii)

JLKNJ
(iv)

JMK
(v)

JMKNJ

Question 23

23.

The diameter FG of a circle with centre 'O' is perpendicular to the chord DE. If DE = 10.00 cm and FH = 0.87 cm, find the radius of the circle.

(i)

16.87 cm
(ii)

13.87 cm
(iii)

12.87 cm
(iv)

15.87 cm
(v)

14.87 cm

Question 24

24.

Which of the following figures represent a secant ?

(i)

fig III
(ii)

fig IV
(iii)

fig V
(iv)

fig II
(v)

fig I

Question 25

25.

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

(i)

centre
(ii)

major segment
(iii)

semi-circle
(iv)

chord
(v)

segment

Assignment Key