EduSahara™ Worksheet

Question 1

1.

CD , EF , GH , IJ are chords of a circle with CD = 5 cm , EF = 2 cm , GH = 7.5 cm and IJ = 5.08 cm. The chord farthest from the centre of the circle is

(i)

CD = 5 cm
(ii)

GH = 7.5 cm
(iii)

EF = 2 cm
(iv)

IJ = 5.08 cm

Question 2

2.

With the vertices of a triangle △ABC as centres, three circles are drawn touching each other externally. If the sides of the triangle are 12 cm , 17 cm and 13 cm , find the radii of the circles

(i)

9 cm , 8 cm & 9 cm respectively
(ii)

4 cm , 13 cm & 9 cm respectively
(iii)

9 cm , 13 cm & 14 cm respectively
(iv)

4 cm , 8 cm & 14 cm respectively
(v)

4 cm , 8 cm & 9 cm respectively

Question 3

3.

Half of a circle is called

(i)

major segment
(ii)

diameter
(iii)

radius
(iv)

semi-circle
(v)

centre

Question 4

4.

In the given figure, IJ & KL are diameters of the circle. If ∠IJK = 65° find, ∠JOK

(i)

60°
(ii)

80°
(iii)

65°
(iv)

50°
(v)

55°

Question 5

5.

In the given figure, IL & JK are two chords of equal length. Given ∠OJK = 42°, find ∠IOL

(i)

101°
(ii)

126°
(iii)

106°
(iv)

96°
(v)

111°

Question 6

6.

If two circles are concentric, then

(i)

their centres are same
(ii)

their radii are same
(iii)

their diameters are same
(iv)

their perimeters are same

Question 7

7.

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

(i)

circumference
(ii)

diameter
(iii)

semi-circle
(iv)

radius
(v)

centre

Question 8

8.

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

(i)

circumference
(ii)

centre
(iii)

tangent
(iv)

diameter
(v)

chord

Question 9

9.

Which of the following statements are true?

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

(i)

{a,d}
(ii)

{b,e,d}
(iii)

{c,a,d}
(iv)

{d,e}
(v)

{b,e}

Question 10

10.

In the given figure, FG ∥ HI. Length of chords FG = 17 cm and HI = 17 cm.

If the distance between the chords is
17 cm
,
find the radius of the circle

(i)

14.02 cm
(ii)

10.02 cm
(iii)

11.02 cm
(iv)

13.02 cm
(v)

12.02 cm

Question 11

11.

Which of the following statements are true?

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

(i)

{a,c,d}
(ii)

{b,a,c}
(iii)

{b,e,d}
(iv)

{e,c}
(v)

{b,a}

Question 12

12.

The radii of the circle are

(i)

LM

,

MN

,

NO

,

OP

,

PL

,

QM
(ii)

LM

,

MN

,

NO

,

OP

,

PL

,

NP
(iii)

MN

,

NO

,

OP

,

PL
(iv)

LM

,

MN

,

NO

,

OP

,

PL
(v)

QL

,

QM

,

QN

,

QO

,

QP

Question 13

13.

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

(i)

circumference
(ii)

radius
(iii)

diameter
(iv)

chord
(v)

semi-circle

Question 14

14.

Which of the following statements are true?

a)	Angle subtended by the major arc in its alternate segment is obtuse.
b)	If two chords are equal, then they are equidistant from the centre of the circle.
c)	Angle subtended in the major 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)

{c,d,e}
(ii)

{d,b}
(iii)

{c,a}
(iv)

{c,a,b}
(v)

{a,b,e}

Question 15

15.

The major arc of the circle is

(i)

PKMLP
(ii)

KNL
(iii)

PKNLP
(iv)

KNLOK
(v)

KMLOK

Question 16

16.

Which of the following statements are true?

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

(i)

{a,b}
(ii)

{d,a,b}
(iii)

{b,e}
(iv)

{c,e}
(v)

{c,e,b}

Question 17

17.

In the given figure, △ABC is inscribed in a circle. If AB = AC = 24 cm and BC = 20 cm, find the radius of the circle

(i)

12.20 cm
(ii)

15.20 cm
(iii)

13.20 cm
(iv)

14.20 cm
(v)

11.20 cm

Question 18

18.

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)

equilateral triangle
(iii)

right angle triangle
(iv)

obtuse angled triangle

Question 19

19.

Find the side of the square in the following figure if the radius of the circle is 11.00 cm.

(i)

13.55 cm
(ii)

14.55 cm
(iii)

17.55 cm
(iv)

15.55 cm
(v)

16.55 cm

Question 20

20.

The diameter EF of a circle with centre 'O' is perpendicular to the chord CD. If CD = 16.00 cm and EG = 2.00 cm, find the radius of the circle.

(i)

19.00 cm
(ii)

18.00 cm
(iii)

16.00 cm
(iv)

15.00 cm
(v)

17.00 cm

Question 21

21.

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)

obtuse angled triangle
(iii)

equilateral triangle
(iv)

right angle triangle

Question 22

22.

The angle subtended by the semicircle at the centre is

(i)

190°
(ii)

195°
(iii)

210°
(iv)

180°
(v)

185°

Question 23

23.

The minor arc of the circle is

(i)

ACBEA
(ii)

ACB
(iii)

FACBF
(iv)

ADB
(v)

FADBF

Question 24

24.

The major segment of the circle is

(i)

HCEDH
(ii)

CEDGC
(iii)

CFDGC
(iv)

HCFDH
(v)

CFD

Question 25

25.

Which of the following figures represent a diameter ?

(i)

fig III
(ii)

fig II
(iii)

fig IV
(iv)

fig I
(v)

fig V

Assignment Key