EduSahara™ Worksheet

Question 1

1.

The major segment of the circle is

(i)

KFIGK
(ii)

KFHGK
(iii)

FIG
(iv)

FIGJF
(v)

FHGJF

Question 2

2.

Which of the following statements are true?

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

(i)

{a,c,e}
(ii)

{c,d}
(iii)

{b,d,e}
(iv)

{a,b,d}
(v)

{a,b}

Question 3

3.

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

(i)

major segment
(ii)

segment
(iii)

semi-circle
(iv)

circumference
(v)

diameter

Question 4

4.

The minor segment of the circle is

(i)

HJI
(ii)

MHJIM
(iii)

HKI
(iv)

HJILH
(v)

HKILH

Question 5

5.

Find the points belonging to the outside of the circle

(i)

{L,O,R}
(ii)

{K,M,S}
(iii)

{L,M,P}
(iv)

{M,P,S}
(v)

{K,N,Q}

Question 6

6.

Identify the figure below

(i)

quadrilateral
(ii)

octagon
(iii)

circle
(iv)

angle
(v)

heptagon

Question 7

7.

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

(i)

semi-circle
(ii)

radius
(iii)

diameter
(iv)

centre
(v)

major segment

Question 8

8.

The major sector of the circle is

(i)

DFEHD
(ii)

IDGEI
(iii)

DGEHD
(iv)

DFE
(v)

IDFEI

Question 9

9.

In the given triangle S is the circumcentre. If SJ = 13.40 cm, find the circumference of the circumcircle

(i)

85.2 cm
(ii)

83.2 cm
(iii)

82.2 cm
(iv)

86.2 cm
(v)

84.2 cm

Question 10

10.

An arc subtends 90° in its alternate segment. The arc is

(i)

major segment
(ii)

quadrant
(iii)

major arc
(iv)

semi-circle
(v)

minor arc

Question 11

11.

Find the points belonging to the circle

(i)

{W,S,V}
(ii)

{Q,T,W}
(iii)

{R,U,X}
(iv)

{S,V,R}
(v)

{P,S,V}

Question 12

12.

Two circles with equal radii are

(i)

concentric
(ii)

congruent
(iii)

only similar but not congruent
(iv)

not similar

Question 13

13.

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

(i)

semi-circle
(ii)

major segment
(iii)

segment
(iv)

radius
(v)

centre

Question 14

14.

O is the centre of the circle. If ∠HJI = 38° and ∠JHK = 38°, find t°, u°

(i)

42°, 52°
(ii)

52°, 52°
(iii)

82°, 72°
(iv)

62°, 62°

Question 15

15.

Which of the following figures represent a tangent ?

(i)

fig II
(ii)

fig III
(iii)

fig I
(iv)

fig V
(v)

fig IV

Question 16

16.

The centre of the circle is

(i)

I
(ii)

N
(iii)

K
(iv)

J
(v)

H

Question 17

17.

The angle subtended by the semicircle at the centre is

(i)

210°
(ii)

195°
(iii)

185°
(iv)

190°
(v)

180°

Question 18

18.

O is the centre of the circle and OF = EF. Find ∠EOF

(i)

65°
(ii)

60°
(iii)

90°
(iv)

70°
(v)

75°

Question 19

19.

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

(i)

90°
(ii)

95°
(iii)

120°
(iv)

105°
(v)

100°

Question 20

20.

Half of a circle is called

(i)

semi-circle
(ii)

chord
(iii)

segment
(iv)

major segment
(v)

radius

Question 21

21.

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

(i)

semi-circle
(ii)

centre
(iii)

segment
(iv)

chord
(v)

radius

Question 22

22.

If the diameter of a circle is 140 cm, what is its radius?

(i)

68 cm
(ii)

69 cm
(iii)

72 cm
(iv)

71 cm
(v)

70 cm

Question 23

23.

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

(i)

obtuse angled triangle
(ii)

right angle triangle
(iii)

acute angled triangle
(iv)

equilateral triangle

Question 24

24.

The diameters of the circle are

(i)

BC

,

CD

,

DE

,

EF

,

FG

,

GB
(ii)

EG

(iii)

HB

,

HC

,

HD

,

HE

,

HF

,

HG

,

EG

(iv)

HB

,

HC

,

HD

,

HE

,

HF

,

HG

(v)

BC

,

CD

,

DE

,

EF

,

FG

,

GB

,

EG

Question 25

25.

The distance around the circle is called

(i)

arc
(ii)

diameter
(iii)

circumference
(iv)

chord
(v)

radius

Assignment Key