EduSahara™ Worksheet

Question 1

1.

Which of the following statements are true?

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

(i)

{d,c}
(ii)

{e,b,a}
(iii)

{d,c,a}
(iv)

{a,c}
(v)

{b,a}

Question 2

2.

The major sector of the circle is

(i)

HJI
(ii)

MHJIM
(iii)

HKILH
(iv)

MHKIM
(v)

HKI

Question 3

3.

Which of the following statements are true?

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

(i)

{d,c,b}
(ii)

{d,c}
(iii)

{e,a,b}
(iv)

{a,b}
(v)

{b,c}

Question 4

4.

Two circles with equal radii are

(i)

concentric
(ii)

only similar but not congruent
(iii)

congruent
(iv)

not similar

Question 5

5.

The minor sector of the circle is

(i)

IDGEI
(ii)

DGEHD
(iii)

DFE
(iv)

IDFEI
(v)

DFEHD

Question 6

6.

Which of the following statements are true?

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

(i)

{c,a}
(ii)

{c,a,b}
(iii)

{a,b,d}
(iv)

{c,e,d}
(v)

{e,b}

Question 7

7.

Which of the following statements are true?

a)	Only one tangent can be drawn through a point on a circle.
b)	The sides of a triangle can be tangents to a circle.
c)	Atmost one tangent can be drawn through a point inside the circle.
d)	Two tangents to a circle always intersect.
e)	Only two tangents can be drawn from a point outside the circle.

(i)

{d,b}
(ii)

{c,a,b}
(iii)

{c,a}
(iv)

{c,d,e}
(v)

{a,b,e}

Question 8

8.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{c,e}
(iii)

{c,e,a}
(iv)

{a,e}
(v)

{d,b,a}

Question 9

9.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{e,b,a}
(iii)

{c,d}
(iv)

{a,d}
(v)

{c,d,a}

Question 10

10.

Find the points belonging to the outside of the circle

(i)

{F,H}
(ii)

{H,K}
(iii)

{G,J}
(iv)

{F,I}
(v)

{H,J}

Question 11

11.

The angle between a tangent to a circle and the radius drawn at the point of contact is

(i)

95°
(ii)

90°
(iii)

105°
(iv)

100°
(v)

120°

Question 12

12.

Half of a circle is called

(i)

major segment
(ii)

diameter
(iii)

segment
(iv)

semi-circle
(v)

radius

Question 13

13.

Which of the following statements are true?

a)	A line can meet a circle atmost at two points.
b)	Every circle has a unique diameter.
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 centre.

(i)

{b,a}
(ii)

{c,d}
(iii)

{b,a,d}
(iv)

{a,d,e}
(v)

{b,c,e}

Question 14

14.

A line segment joining any point on the circle with its centre is called

(i)

major segment
(ii)

chord
(iii)

segment
(iv)

radius
(v)

semi-circle

Question 15

15.

If the radius of a circle is 84 cm, what is its diameter?

(i)

166 cm
(ii)

170 cm
(iii)

169 cm
(iv)

167 cm
(v)

168 cm

Question 16

16.

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

(i)

centre
(ii)

major segment
(iii)

radius
(iv)

segment
(v)

semi-circle

Question 17

17.

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

(i)

radius
(ii)

chord
(iii)

major segment
(iv)

centre
(v)

circumference

Question 18

18.

Which of the following figures represent a tangent ?

(i)

fig II
(ii)

fig IV
(iii)

fig V
(iv)

fig III
(v)

fig I

Question 19

19.

Find the points belonging to the inside of the circle

(i)

{O,K}
(ii)

{L,O}
(iii)

{J,N}
(iv)

{J,M}
(v)

{K,N}

Question 20

20.

The perimeter of a circle is called

(i)

circumference
(ii)

diameter
(iii)

radius
(iv)

chord
(v)

semi-circle

Question 21

21.

The radii of the circle are

(i)

FG

,

GH

,

HI

,

IJ

,

JF

,

HJ
(ii)

KF

,

KG

,

KH

,

KI

,

KJ
(iii)

FG

,

GH

,

HI

,

IJ

,

JF
(iv)

FG

,

GH

,

HI

,

IJ

,

JF

,

KI
(v)

GH

,

HI

,

IJ

,

JF

Question 22

22.

The centre of the circle is

(i)

M
(ii)

Q
(iii)

O
(iv)

N
(v)

L

Question 23

23.

The major segment of the circle is

(i)

HKILH
(ii)

MHJIM
(iii)

HJI
(iv)

HKI
(v)

MHKIM

Question 24

24.

Find the points belonging to the circle

(i)

{I,L,O}
(ii)

{L,Q,I}
(iii)

{I,P,L}
(iv)

{K,N,Q}
(v)

{J,M,P}

Question 25

25.

Which of the following figures represent a diameter ?

(i)

fig II
(ii)

fig V
(iii)

fig III
(iv)

fig I
(v)

fig IV

Assignment Key