EduSahara™ Worksheet

Question 1

1.

The minor sector of the circle is

(i)

BDCFB
(ii)

BEC
(iii)

BDC
(iv)

BECFB
(v)

GBDCG

Question 2

2.

Which of the following statements are true?

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

(i)

{a,e,d}
(ii)

{b,c,d}
(iii)

{a,b,c}
(iv)

{e,c}
(v)

{a,b}

Question 3

3.

Which of the following statements are true?

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

(i)

{c,d}
(ii)

{b,a}
(iii)

{e,b,a}
(iv)

{c,d,a}
(v)

{a,d}

Question 4

4.

In the given figure DF & EF are equal length chords of the circle. Find ∠FDE

(i)

60°
(ii)

45°
(iii)

75°
(iv)

50°
(v)

55°

Question 5

5.

Half of a circle is called

(i)

segment
(ii)

major segment
(iii)

circumference
(iv)

centre
(v)

semi-circle

Question 6

6.

Which of the following statements are true?

a)	Angle subtended by the major arc at the centre is acute.
b)	If two chords are equal, then they are equidistant from the centre of the circle.
c)	Angle subtended by the major arc in its alternate segment is obtuse.
d)	The angle subtended in a semicircle is a right angle.
e)	Angle subtended in the major segment is obtuse.

(i)

{a,b,c}
(ii)

{a,b}
(iii)

{e,c}
(iv)

{b,c,d}
(v)

{a,e,d}

Question 7

7.

If two circles are concentric, then

(i)

their centres are same
(ii)

their diameters are same
(iii)

their radii are same
(iv)

their perimeters are same

Question 8

8.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{b,d,e}
(iii)

{a,c,e}
(iv)

{d,c}
(v)

{b,a,c}

Question 9

9.

The minor segment of the circle is

(i)

CED
(ii)

HCFDH
(iii)

CFDGC
(iv)

HCEDH
(v)

CEDGC

Question 10

10.

Find the side of the square in the following figure if the radius of the circle is 12.00 cm.

(i)

16.97 cm
(ii)

14.97 cm
(iii)

18.97 cm
(iv)

15.97 cm
(v)

17.97 cm

Question 11

11.

The centre of the circle is

(i)

E
(ii)

D
(iii)

F
(iv)

G
(v)

I

Question 12

12.

Which of the following statements are true?

a)	If a parallelogram is cyclic, it is a rectangle.
b)	If a rhombus is cyclic, it is a square.
c)	If a kite is cyclic, it is a square.
d)	A cyclic quadrilateral is a regular polygon.
e)	If a trapezium is cyclic, it is a rectangle.

(i)

{a,b}
(ii)

{d,b}
(iii)

{c,a}
(iv)

{e,c,a}
(v)

{d,b,a}

Question 13

13.

The chords of the circle are

(i)

JK

,

KL

,

LM

,

MN

,

NO

,

OJ

,

PM

(ii)

KL

,

LM

,

MN

,

NO

,

OJ

(iii)

PJ

,

PK

,

PL

,

PM

,

PN

,

PO

(iv)

JK

,

KL

,

LM

,

MN

,

NO

,

OJ

,

MO

(v)

JK

,

KL

,

LM

,

MN

,

NO

,

OJ

Question 14

14.

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

(i)

circumference
(ii)

radius
(iii)

segment
(iv)

centre
(v)

semi-circle

Question 15

15.

The diameters of the circle are

(i)

AB

,

BC

,

CD

,

DE

,

EA

,

CE
(ii)

FA

,

FB

,

FC

,

FD

,

FE

(iii)

FA

,

FB

,

FC

,

FD

,

FE

,

CE

(iv)

CE
(v)

AB

,

BC

,

CD

,

DE

,

EA

Question 16

16.

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

(i)

diameter
(ii)

segment
(iii)

radius
(iv)

centre
(v)

major segment

Question 17

17.

Which of the following statements are true?

a)	Every circle has a unique centre.
b)	A circle consists of an infinite number of points.
c)	Every circle has a unique diameter.
d)	Each radius of a circle is also a chord of the circle.
e)	A line can meet a circle atmost at two points.

(i)

{c,a}
(ii)

{c,a,b}
(iii)

{c,d,e}
(iv)

{d,b}
(v)

{a,b,e}

Question 18

18.

In the given triangle S is the circumcentre. If SB = 13.60 cm, find the circumference of the circumcircle

(i)

83.5 cm
(ii)

85.5 cm
(iii)

84.5 cm
(iv)

87.5 cm
(v)

86.5 cm

Question 19

19.

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

(i)

radius
(ii)

diameter
(iii)

secant
(iv)

circumference
(v)

quadrant

Question 20

20.

The major sector of the circle is

(i)

JEGFJ
(ii)

EHFIE
(iii)

EGFIE
(iv)

JEHFJ
(v)

EHF

Question 21

21.

In the given figure, △BCD is an isosceles such that BC = BD. Given BO = 12 cm, BC = BD = 21 cm, find CD

(i)

21.33 cm
(ii)

20.33 cm
(iii)

18.33 cm
(iv)

22.33 cm
(v)

19.33 cm

Question 22

22.

In the given figure, △GHI is equilateral. Given GO = 12 cm, find GI

(i)

20.78 cm
(ii)

21.78 cm
(iii)

18.78 cm
(iv)

19.78 cm
(v)

22.78 cm

Question 23

23.

The major arc of the circle is

(i)

OJMKO
(ii)

JLK
(iii)

JMK
(iv)

OJLKO
(v)

JLKNJ

Question 24

24.

In the given figure, O is the centre of the circle, and OH ⟂ DE. If ∠DEF = 45°, find ∠OGF

(i)

45°
(ii)

75°
(iii)

60°
(iv)

55°
(v)

50°

Question 25

25.

BC is a line segment and E is its mid-point. Three semi-circles are drawn with BE , EC and BC as diameters. D , F and E respectively are the centres of these semi-circles. A new circle is drawn touching these three semi-circles. Find its radius, given BD = 7 cm

(i)

3.67 cm
(ii)

6.67 cm
(iii)

2.67 cm
(iv)

5.67 cm
(v)

4.67 cm

Assignment Key