EduSahara™ Worksheet

Question 1

1.

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

(i)

major segment
(ii)

segment
(iii)

diameter
(iv)

circumference
(v)

radius

Question 2

2.

O is the centre of the circle and OD = CD. Find ∠COD

(i)

75°
(ii)

90°
(iii)

60°
(iv)

65°
(v)

70°

Question 3

3.

'O' is the centre of a circle of radius 'r' and 'P' is any point in its plane.
If
OP
= r ,then P is

(i)

inside the circle
(ii)

on the circle
(iii)

outside the circle

Question 4

4.

Find the points belonging to the outside of the circle

(i)

{P,S,V}
(ii)

{R,V,P}
(iii)

{S,V,Q}
(iv)

{N,Q,T}
(v)

{O,R,U}

Question 5

5.

In the given triangle S is the circumcentre. If SA = 12.50 cm, find the circumference of the circumcircle

(i)

76.6 cm
(ii)

80.6 cm
(iii)

79.6 cm
(iv)

78.6 cm
(v)

77.6 cm

Question 6

6.

The perimeter of a circle is called

(i)

circumference
(ii)

diameter
(iii)

semi-circle
(iv)

chord
(v)

segment

Question 7

7.

'O' is the centre of a circle of radius 'r' and 'P' is any point in its plane.
If
OP
< r,then P is

(i)

inside the circle
(ii)

on the circle
(iii)

outside the circle

Question 8

8.

O is the centre of the circle. If ∠FHG = 55° and ∠HFI = 54°, find x°, y°

(i)

35°, 36°
(ii)

46°, 45°
(iii)

26°, 35°
(iv)

36°, 35°
(v)

66°, 55°

Question 9

9.

Which of the following statements are true?

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

{c,e}
(iii)

{c,e,b}
(iv)

{b,e}
(v)

{a,b}

Question 10

10.

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

(i)

equilateral triangle
(ii)

acute angled triangle
(iii)

right angle triangle
(iv)

obtuse angled triangle

Question 11

11.

Which of the following figures represent a secant ?

(i)

fig II
(ii)

fig III
(iii)

fig IV
(iv)

fig V
(v)

fig I

Question 12

12.

The centre of the circle is

(i)

H
(ii)

E
(iii)

B
(iv)

D
(v)

C

Question 13

13.

Find the missing angle in the following figure?

(i)

65°
(ii)

35°
(iii)

40°
(iv)

45°
(v)

50°

Question 14

14.

Two circles with equal radii are

(i)

concentric
(ii)

not similar
(iii)

only similar but not congruent
(iv)

congruent

Question 15

15.

Half of a circle is called

(i)

major segment
(ii)

chord
(iii)

diameter
(iv)

semi-circle
(v)

radius

Question 16

16.

Identify the figure below

(i)

hexagon
(ii)

circle
(iii)

nonagon
(iv)

angle
(v)

quadrilateral

Question 17

17.

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

(i)

major segment
(ii)

centre
(iii)

circumference
(iv)

radius
(v)

diameter

Question 18

18.

The major arc of the circle is

(i)

CFD
(ii)

HCFDH
(iii)

CED
(iv)

HCEDH
(v)

CFDGC

Question 19

19.

The minor arc of the circle is

(i)

HCFDH
(ii)

CEDGC
(iii)

CED
(iv)

CFD
(v)

CFDGC

Question 20

20.

The diameters of the circle are

(i)

HI

,

IJ

,

JK

,

KL

,

LM

,

MH
(ii)

KM

(iii)

NH

,

NI

,

NJ

,

NK

,

NL

,

NM

(iv)

NH

,

NI

,

NJ

,

NK

,

NL

,

NM

,

KM

(v)

HI

,

IJ

,

JK

,

KL

,

LM

,

MH

,

KM

Question 21

21.

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

(i)

centre
(ii)

major segment
(iii)

radius
(iv)

diameter
(v)

semi-circle

Question 22

22.

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

(i)

diameter
(ii)

centre
(iii)

segment
(iv)

semi-circle
(v)

major segment

Question 23

23.

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

(i)

segment
(ii)

major segment
(iii)

chord
(iv)

radius
(v)

centre

Question 24

24.

The distance around the circle is called

(i)

diameter
(ii)

radius
(iii)

arc
(iv)

chord
(v)

circumference

Question 25

25.

The major segment of the circle is

(i)

IDFEI
(ii)

IDGEI
(iii)

DFE
(iv)

DGE
(v)

DGEHD

Assignment Key