EduSahara™ Worksheet

Question 1

1.

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

(i)

100°
(ii)

95°
(iii)

90°
(iv)

105°
(v)

120°

Question 2

2.

In triangle IJK, if a circle is drawn with JK as diameter and if it passes through I it is a

(i)

acute angled triangle
(ii)

obtuse angled triangle
(iii)

equilateral triangle
(iv)

right angle triangle

Question 3

3.

The major arc of the circle is

(i)

ADBEA
(ii)

FADBF
(iii)

ACBEA
(iv)

ADB
(v)

ACB

Question 4

4.

The distance around the circle is called

(i)

chord
(ii)

circumference
(iii)

arc
(iv)

radius
(v)

diameter

Question 5

5.

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)	A circle consists of an infinite number of points.
d)	Every circle has a unique diameter.
e)	Each radius of a circle is also a chord of the circle.

(i)

{d,a,b}
(ii)

{d,e,c}
(iii)

{e,b}
(iv)

{d,a}
(v)

{a,b,c}

Question 6

6.

Which of the following statements are true?

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

(i)

{d,c}
(ii)

{a,b}
(iii)

{b,c}
(iv)

{d,c,b}
(v)

{e,a,b}

Question 7

7.

Circles having common centre are called

(i)

similar circles
(ii)

concentric circles
(iii)

intersecting circles
(iv)

congruent circles

Question 8

8.

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

(i)

{a,b,d}
(ii)

{a,b}
(iii)

{a,c,e}
(iv)

{b,d,e}
(v)

{c,d}

Question 9

9.

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)

chord
(ii)

tangent
(iii)

quadrant
(iv)

major segment
(v)

semi-circle

Question 10

10.

In the given triangle S is the circumcentre. If SD = 12.60 cm, find the circumference of the circumcircle

(i)

78.2 cm
(ii)

81.2 cm
(iii)

80.2 cm
(iv)

79.2 cm
(v)

77.2 cm

Question 11

11.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{b,a,d}
(iii)

{c,d}
(iv)

{a,d,e}
(v)

{b,c,e}

Question 12

12.

In the given figure, O is the centre of the circle. L is a point on chord JK such that JL = LK. Find ∠OLJ

(i)

105°
(ii)

100°
(iii)

120°
(iv)

90°
(v)

95°

Question 13

13.

The minor segment of the circle is

(i)

ILJ
(ii)

NIKJN
(iii)

IKJMI
(iv)

NILJN
(v)

ILJMI

Question 14

14.

Which of the following figures represent a tangent ?

(i)

fig V
(ii)

fig II
(iii)

fig III
(iv)

fig IV
(v)

fig I

Question 15

15.

Which of the following statements are true?

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

(i)

{d,a,b}
(ii)

{a,b}
(iii)

{b,e}
(iv)

{c,e,b}
(v)

{c,e}

Question 16

16.

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

(i)

chord
(ii)

radius
(iii)

secant
(iv)

tangent
(v)

circumference

Question 17

17.

Which of the following figures represent a diameter ?

(i)

fig V
(ii)

fig I
(iii)

fig IV
(iv)

fig III
(v)

fig II

Question 18

18.

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 19

19.

In the given figure, HI ∥ JK. Length of chords HI = 18 cm and JK = 16 cm.

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

(i)

10.70 cm
(ii)

11.70 cm
(iii)

13.70 cm
(iv)

9.70 cm
(v)

12.70 cm

Question 20

20.

The chords of the circle are

(i)

FG

,

GH

,

HI

,

IJ

,

JK

,

KF

,

LK

(ii)

GH

,

HI

,

IJ

,

JK

,

KF

(iii)

FG

,

GH

,

HI

,

IJ

,

JK

,

KF

,

IK

(iv)

FG

,

GH

,

HI

,

IJ

,

JK

,

KF
(v)

LF

,

LG

,

LH

,

LI

,

LJ

,

LK

Question 21

21.

The major segment of the circle is

(i)

GBDCG
(ii)

BEC
(iii)

GBECG
(iv)

BECFB
(v)

BDCFB

Question 22

22.

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

(i)

incentre
(ii)

orthocentre
(iii)

centroid
(iv)

circumcentre
(v)

excentre

Question 23

23.

In the given figure, FG ∥ HI. Length of chords FG = 20 cm and HI = 30 cm.

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

(i)

16.48 cm
(ii)

17.48 cm
(iii)

13.48 cm
(iv)

14.48 cm
(v)

15.48 cm

Question 24

24.

In the given figure, △HIJ is equilateral. Given HO = 12 cm, find HI

(i)

21.78 cm
(ii)

18.78 cm
(iii)

22.78 cm
(iv)

20.78 cm
(v)

19.78 cm

Question 25

25.

In the given figure, JK is a diameter of the circle with centre O. If ∠KJL = 26.56° and KL = KM, find ∠MLJ

(i)

63.44°
(ii)

68.44°
(iii)

73.44°
(iv)

93.44°
(v)

78.44°

Assignment Key