EduSahara™ Worksheet

Question 1

1.

In triangle EFG, if a circle is drawn with FG as diameter and if it passes through E it is a

(i)

equilateral triangle
(ii)

right angle triangle
(iii)

acute angled triangle
(iv)

obtuse angled triangle

Question 2

2.

The radii of the circle are

(i)

KL

,

LM

,

MN

,

NO

,

OK
(ii)

KL

,

LM

,

MN

,

NO

,

OK

,

MO
(iii)

LM

,

MN

,

NO

,

OK
(iv)

KL

,

LM

,

MN

,

NO

,

OK

,

PO
(v)

PK

,

PL

,

PM

,

PN

,

PO

Question 3

3.

In the given figure, △ABC is equilateral. Given AO = 12 cm, find AB

(i)

21.78 cm
(ii)

19.78 cm
(iii)

18.78 cm
(iv)

20.78 cm
(v)

22.78 cm

Question 4

4.

Points which lie on the circumference of the circle are called

(i)

Similar points
(ii)

Coincident points
(iii)

Cyclic points
(iv)

Concurrent points
(v)

Concyclic points

Question 5

5.

Which of the following figures represent a diameter ?

(i)

fig I
(ii)

fig III
(iii)

fig V
(iv)

fig II
(v)

fig IV

Question 6

6.

Which of the following statements are true?

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

(i)

{a,c}
(ii)

{d,a,c}
(iii)

{b,e}
(iv)

{b,e,c}
(v)

{c,e}

Question 7

7.

The major arc of the circle is

(i)

IKJ
(ii)

ILJMI
(iii)

NIKJN
(iv)

NILJN
(v)

ILJ

Question 8

8.

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

(i)

major segment
(ii)

radius
(iii)

centre
(iv)

semi-circle
(v)

circumference

Question 9

9.

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

(i)

centre
(ii)

chord
(iii)

semi-circle
(iv)

segment
(v)

diameter

Question 10

10.

Which of the following statements are true?

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

(i)

{d,a,b}
(ii)

{b,e}
(iii)

{c,e}
(iv)

{c,e,b}
(v)

{a,b}

Question 11

11.

Two concentric circles are of radii 23 cm and 13 cm. Find the length of the chord of the outer circle that touches the inner circle

(i)

35.95 cm
(ii)

37.95 cm
(iii)

36.95 cm
(iv)

38.95 cm
(v)

39.95 cm

Question 12

12.

In the given figure, AB ∥ CD. Length of chords AB = 20 cm and CD = 28 cm.

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

(i)

14.87 cm
(ii)

15.87 cm
(iii)

13.87 cm
(iv)

16.87 cm
(v)

12.87 cm

Question 13

13.

The major segment of the circle is

(i)

FHG
(ii)

KFIGK
(iii)

FIGJF
(iv)

FHGJF
(v)

FIG

Question 14

14.

In the given figure, two circles of radii HJ = 13.6 cm & IJ = 13.6 cm intersect at J & K. The distance between the centres HI = 20 cm, find the length of JK

(i)

17.43 cm
(ii)

19.43 cm
(iii)

20.43 cm
(iv)

16.43 cm
(v)

18.43 cm

Question 15

15.

Which of the following figures represent a secant ?

(i)

fig II
(ii)

fig I
(iii)

fig III
(iv)

fig V
(v)

fig IV

Question 16

16.

Which of the following statements are true?

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

(i)

{c,d,a}
(ii)

{c,d}
(iii)

{e,b,a}
(iv)

{b,a}
(v)

{a,d}

Question 17

17.

Half of a circle is called

(i)

major segment
(ii)

semi-circle
(iii)

chord
(iv)

radius
(v)

segment

Question 18

18.

If two circles are concentric, then

(i)

their radii are same
(ii)

their centres are same
(iii)

their diameters are same
(iv)

their perimeters are same

Question 19

19.

The minor sector of the circle is

(i)

BDC
(ii)

GBDCG
(iii)

BDCFB
(iv)

BEC
(v)

BECFB

Question 20

20.

The minor arc of the circle is

(i)

GBDCG
(ii)

GBECG
(iii)

BEC
(iv)

BDC
(v)

BDCFB

Question 21

21.

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

(i)

100°
(ii)

105°
(iii)

90°
(iv)

120°
(v)

95°

Question 22

22.

In the given figure, O is the centre of the circle. F is a point on chord DE such that DF = FE. Find ∠OFD

(i)

100°
(ii)

95°
(iii)

90°
(iv)

105°
(v)

120°

Question 23

23.

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

(i)

tangent
(ii)

chord
(iii)

quadrant
(iv)

diameter
(v)

secant

Question 24

24.

In the given triangle S is the circumcentre. If SE = 13.10 cm, find the circumference of the circumcircle

(i)

83.3 cm
(ii)

82.3 cm
(iii)

81.3 cm
(iv)

80.3 cm
(v)

84.3 cm

Question 25

25.

The angle subtended by the semicircle at the centre is

(i)

190°
(ii)

210°
(iii)

185°
(iv)

180°
(v)

195°

Assignment Key