EduSahara™ Worksheet

Question 1

1.

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

(i)

semi-circle
(ii)

circumference
(iii)

radius
(iv)

chord
(v)

centre

Question 2

2.

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

(i)

semi-circle
(ii)

radius
(iii)

chord
(iv)

major segment
(v)

centre

Question 3

3.

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

(i)

segment
(ii)

semi-circle
(iii)

diameter
(iv)

chord
(v)

circumference

Question 4

4.

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

(i)

diameter
(ii)

radius
(iii)

segment
(iv)

chord
(v)

circumference

Question 5

5.

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

(i)

segment
(ii)

major segment
(iii)

chord
(iv)

semi-circle
(v)

centre

Question 6

6.

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

(i)

semi-circle
(ii)

major segment
(iii)

radius
(iv)

segment
(v)

diameter

Question 7

7.

Half of a circle is called

(i)

semi-circle
(ii)

circumference
(iii)

centre
(iv)

segment
(v)

major segment

Question 8

8.

The perimeter of a circle is called

(i)

chord
(ii)

diameter
(iii)

major segment
(iv)

segment
(v)

circumference

Question 9

9.

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)

{c,d}
(ii)

{b,a,d}
(iii)

{b,a}
(iv)

{a,d,e}
(v)

{b,c,e}

Question 10

10.

Which of the following statements are true?

a)	One and only one tangent can be drawn to a circle from a point outside it.
b)	An infinite number of diameters may be drawn for a circle.
c)	Two semi-circles of a circle together make the whole circle.
d)	An infinite number of chords may be drawn for a circle.
e)	Every circle has a unique diameter.

(i)

{b,c,d}
(ii)

{a,b}
(iii)

{a,b,c}
(iv)

{e,c}
(v)

{a,e,d}

Question 11

11.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{e,b,a}
(iii)

{d,c,a}
(iv)

{d,c}
(v)

{a,c}

Question 12

12.

Two circles with radii R and r touch internally. If the distance between their centres is d, then

(i)

d = R + r
(ii)

d = R - r
(iii)

d < R - r
(iv)

d > R - r
(v)

d < R + r

Question 13

13.

Two circles with equal radii are

(i)

only similar but not congruent
(ii)

congruent
(iii)

not similar
(iv)

concentric

Question 14

14.

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

(i)

95°
(ii)

105°
(iii)

90°
(iv)

100°
(v)

120°

Question 15

15.

If two circles of radii 8 cm and 3 cm touch internally, the distance between their centres is

(i)

6 cm
(ii)

7 cm
(iii)

3 cm
(iv)

4 cm
(v)

5 cm

Question 16

16.

If two circles of radii 9 cm and 2 cm touch externally, the distance between their centres is

(i)

11 cm
(ii)

9 cm
(iii)

10 cm
(iv)

12 cm
(v)

13 cm

Question 17

17.

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

(i)

chord
(ii)

semi-circle
(iii)

segment
(iv)

tangent
(v)

secant

Question 18

18.

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

(i)

quadrant
(ii)

centre
(iii)

radius
(iv)

tangent
(v)

secant

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)

secant
(ii)

tangent
(iii)

circumference
(iv)

quadrant
(v)

chord

Question 20

20.

Which of the following statements are true?

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

(i)

{d,c,b}
(ii)

{b,c}
(iii)

{a,b}
(iv)

{e,a,b}
(v)

{d,c}

Question 21

21.

Which of the following statements are true?

a)	Equal length chords are equidistant from 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 subtend equal angles at 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)

{b,e,d}
(ii)

{b,a}
(iii)

{b,a,c}
(iv)

{a,c,d}
(v)

{e,c}

Question 22

22.

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

(i)

excentre
(ii)

orthocentre
(iii)

circumcentre
(iv)

incentre
(v)

centroid

Question 23

23.

The angle subtended by the semicircle at the centre is

(i)

195°
(ii)

185°
(iii)

210°
(iv)

190°
(v)

180°

Question 24

24.

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

(i)

95°
(ii)

105°
(iii)

100°
(iv)

120°
(v)

90°

Question 25

25.

Circles having common centre are called

(i)

congruent circles
(ii)

intersecting circles
(iii)

similar circles
(iv)

concentric circles

Question 26

26.

If two circles are concentric, then

(i)

their diameters are same
(ii)

their perimeters are same
(iii)

their radii are same
(iv)

their centres are same

Question 27

27.

Which of the following figures represent a chord ?

(i)

fig III
(ii)

fig I
(iii)

fig II
(iv)

fig IV
(v)

fig V

Question 28

28.

Which of the following figures represent a diameter ?

(i)

fig V
(ii)

fig II
(iii)

fig III
(iv)

fig I
(v)

fig IV

Question 29

29.

Which of the following figures represent a secant ?

(i)

fig I
(ii)

fig IV
(iii)

fig V
(iv)

fig II
(v)

fig III

Question 30

30.

Which of the following figures represent a tangent ?

(i)

fig II
(ii)

fig V
(iii)

fig I
(iv)

fig IV
(v)

fig III

Question 31

31.

Which of the following statements are true?

a)

π
is a rational number.

b)

A circle divides the plane into three mutually disjoint sets of points.

c)

All diameters of a circle are chords.

d)

All chords of a circle are diameters.

e)

22
7
is a rational number.

(i)

{a,b,c}
(ii)

{a,d,e}
(iii)

{a,b}
(iv)

{d,c}
(v)

{b,c,e}

Question 32

32.

Points which lie on the circumference of the circle are called

(i)

Coincident points
(ii)

Concyclic points
(iii)

Similar points
(iv)

Concurrent points
(v)

Cyclic points

Assignment Key