EduSahara™ Worksheet

Question 1

1.

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

(i)

orthocentre
(ii)

excentre
(iii)

centroid
(iv)

circumcentre
(v)

incentre

Question 2

2.

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

(i)

90°
(ii)

105°
(iii)

95°
(iv)

120°
(v)

100°

Question 3

3.

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

(i)

semi-circle
(ii)

centre
(iii)

chord
(iv)

circumference
(v)

segment

Question 4

4.

In the given figure, two circles of radii CE = 14.3 cm & DE = 13 cm intersect at E & F. The distance between the centres CD = 20 cm, find the length of EF

(i)

19.54 cm
(ii)

17.54 cm
(iii)

16.54 cm
(iv)

20.54 cm
(v)

18.54 cm

Question 5

5.

Which of the following statements are true?

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

(i)

{e,a,b}
(ii)

{b,d}
(iii)

{c,d,b}
(iv)

{c,d}
(v)

{a,b}

Question 6

6.

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

(i)

18.78 cm
(ii)

21.78 cm
(iii)

19.78 cm
(iv)

20.78 cm
(v)

22.78 cm

Question 7

7.

The angle subtended by the semicircle at the centre is

(i)

210°
(ii)

180°
(iii)

185°
(iv)

195°
(v)

190°

Question 8

8.

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

(i)

segment
(ii)

major segment
(iii)

diameter
(iv)

chord
(v)

circumference

Question 9

9.

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

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

(i)

14.48 cm
(ii)

15.48 cm
(iii)

16.48 cm
(iv)

17.48 cm
(v)

13.48 cm

Question 10

10.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{b,d,e}
(iii)

{d,c}
(iv)

{a,c,e}
(v)

{b,a,c}

Question 11

11.

The minor segment of the circle is

(i)

GBDCG
(ii)

BEC
(iii)

BDCFB
(iv)

BECFB
(v)

GBECG

Question 12

12.

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

(i)

diameter
(ii)

segment
(iii)

major segment
(iv)

centre
(v)

chord

Question 13

13.

The radii of the circle are

(i)

GH

,

HI

,

IJ

,

JF
(ii)

FG

,

GH

,

HI

,

IJ

,

JF

,

KH
(iii)

FG

,

GH

,

HI

,

IJ

,

JF
(iv)

FG

,

GH

,

HI

,

IJ

,

JF

,

HJ
(v)

KF

,

KG

,

KH

,

KI

,

KJ

Question 14

14.

The distance around the circle is called

(i)

chord
(ii)

arc
(iii)

radius
(iv)

circumference
(v)

diameter

Question 15

15.

In the given figure, J and K are centres of two circles with equal radii intersecting at L and M. If JK = 20 cm and LM = 11 cm, find the radii of the circles

(i)

10.41 cm
(ii)

11.41 cm
(iii)

9.41 cm
(iv)

13.41 cm
(v)

12.41 cm

Question 16

16.

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

(i)

diameter
(ii)

radius
(iii)

segment
(iv)

centre
(v)

circumference

Question 17

17.

The chords of the circle are

(i)

BC

,

CD

,

DE

,

EF

,

FG

,

GH

,

HB

(ii)

BC

,

CD

,

DE

,

EF

,

FG

,

GH

,

HB

,

IF

(iii)

IB

,

IC

,

ID

,

IE

,

IF

,

IG

,

IH

(iv)

BC

,

CD

,

DE

,

EF

,

FG

,

GH

,

HB

,

FH

(v)

CD

,

DE

,

EF

,

FG

,

GH

,

HB

Question 18

18.

Which of the following statements are true?

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

(i)

{a,c}
(ii)

{c,d}
(iii)

{b,d,c}
(iv)

{b,d}
(v)

{e,a,c}

Question 19

19.

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)

major segment
(ii)

quadrant
(iii)

segment
(iv)

chord
(v)

centre

Question 20

20.

The major sector of the circle is

(i)

DGEHD
(ii)

IDGEI
(iii)

IDFEI
(iv)

DGE
(v)

DFEHD

Question 21

21.

FG is a line segment and I is its mid-point. Three semi-circles are drawn with FI , IG and FG as diameters. H , J and I respectively are the centres of these semi-circles. A new circle is drawn touching these three semi-circles. Find its radius, given FH = 7 cm

(i)

2.67 cm
(ii)

5.67 cm
(iii)

3.67 cm
(iv)

4.67 cm
(v)

6.67 cm

Question 22

22.

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

(i)

equilateral triangle
(ii)

obtuse angled triangle
(iii)

right angle triangle
(iv)

acute angled triangle

Question 23

23.

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

(i)

major segment
(ii)

secant
(iii)

centre
(iv)

semi-circle
(v)

chord

Question 24

24.

Half of a circle is called

(i)

segment
(ii)

radius
(iii)

major segment
(iv)

circumference
(v)

semi-circle

Question 25

25.

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

(i)

centre
(ii)

radius
(iii)

circumference
(iv)

segment
(v)

tangent

Assignment Key