EduSahara™ Worksheet

Question 1

1.

The distance around the circle is called

(i)

chord
(ii)

radius
(iii)

arc
(iv)

diameter
(v)

circumference

Question 2

2.

Which of the following statements are true?

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

(i)

{b,e}
(ii)

{d,a,c}
(iii)

{c,e}
(iv)

{b,e,c}
(v)

{a,c}

Question 3

3.

The minor sector of the circle is

(i)

LGIHL
(ii)

GJHKG
(iii)

GJH
(iv)

GIH
(v)

LGJHL

Question 4

4.

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

(i)

120°
(ii)

100°
(iii)

95°
(iv)

105°
(v)

90°

Question 5

5.

GH , IJ , KL , MN are chords of a circle with GH = 5 cm , IJ = 4 cm , KL = 6.2 cm and MN = 4.06 cm. The chord farthest from the centre of the circle is

(i)

IJ = 4 cm
(ii)

KL = 6.2 cm
(iii)

GH = 5 cm
(iv)

MN = 4.06 cm

Question 6

6.

Which of the following statements are true?

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

(i)

{a,d,e}
(ii)

{c,d}
(iii)

{b,c,e}
(iv)

{b,a}
(v)

{b,a,d}

Question 7

7.

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

(i)

major segment
(ii)

semi-circle
(iii)

centre
(iv)

chord
(v)

circumference

Question 8

8.

Which of the following statements are true?

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

(i)

{c,d}
(ii)

{a,b,d}
(iii)

{a,c,e}
(iv)

{a,b}
(v)

{b,d,e}

Question 9

9.

The diameters of the circle are

(i)

LN

(ii)

IJ

,

JK

,

KL

,

LM

,

MN

,

NI

,

LN

(iii)

OI

,

OJ

,

OK

,

OL

,

OM

,

ON

(iv)

IJ

,

JK

,

KL

,

LM

,

MN

,

NI

(v)

OI

,

OJ

,

OK

,

OL

,

OM

,

ON

,

LN

Question 10

10.

The major segment of the circle is

(i)

BDC
(ii)

BECFB
(iii)

GBECG
(iv)

BEC
(v)

GBDCG

Question 11

11.

The radii of the circle are

(i)

CD

,

DE

,

EF

,

FG

,

GC

,

EG
(ii)

HC

,

HD

,

HE

,

HF

,

HG
(iii)

DE

,

EF

,

FG

,

GC
(iv)

CD

,

DE

,

EF

,

FG

,

GC

,

HF
(v)

CD

,

DE

,

EF

,

FG

,

GC

Question 12

12.

In the given figure, if y = 24 cm and a = 12 cm, find x

(i)

4.00 cm
(ii)

5.00 cm
(iii)

7.00 cm
(iv)

6.00 cm
(v)

8.00 cm

Question 13

13.

In the given triangle S is the circumcentre. If SH = 13.10 cm, find the circumference of the circumcircle

(i)

83.3 cm
(ii)

84.3 cm
(iii)

82.3 cm
(iv)

80.3 cm
(v)

81.3 cm

Question 14

14.

Points which lie on the circumference of the circle are called

(i)

Cyclic points
(ii)

Similar points
(iii)

Concurrent points
(iv)

Concyclic points
(v)

Coincident points

Question 15

15.

In the given figure, O is the centre of the circle. L is a point on chord JK such that JL = LK. Find ∠OLJ

(i)

100°
(ii)

120°
(iii)

90°
(iv)

105°
(v)

95°

Question 16

16.

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

(i)

centre
(ii)

chord
(iii)

major segment
(iv)

segment
(v)

semi-circle

Question 17

17.

In the given figure, two circles of radii AC = 11.2 cm & BC = 11.2 cm intersect at C & D. The distance between the centres AB = 20 cm, find the length of CD

(i)

9.09 cm
(ii)

11.09 cm
(iii)

8.09 cm
(iv)

10.09 cm
(v)

12.09 cm

Question 18

18.

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

(i)

circumference
(ii)

segment
(iii)

major segment
(iv)

semi-circle
(v)

diameter

Question 19

19.

In the given figure, GH is a diameter of the circle with centre O. If ∠HGI = 21.43° and HI = HJ, find ∠JIG

(i)

83.57°
(ii)

78.57°
(iii)

68.57°
(iv)

98.57°
(v)

73.57°

Question 20

20.

Circles having common centre are called

(i)

concentric circles
(ii)

similar circles
(iii)

congruent circles
(iv)

intersecting circles

Question 21

21.

The chords of the circle are

(i)

AB

,

BC

,

CD

,

DE

,

EF

,

FA
(ii)

GA

,

GB

,

GC

,

GD

,

GE

,

GF

(iii)

AB

,

BC

,

CD

,

DE

,

EF

,

FA

,

DF

(iv)

AB

,

BC

,

CD

,

DE

,

EF

,

FA

,

GA

(v)

BC

,

CD

,

DE

,

EF

,

FA

Question 22

22.

Find the side of the square in the following figure if the radius of the circle is 13.00 cm.

(i)

19.38 cm
(ii)

20.38 cm
(iii)

18.38 cm
(iv)

17.38 cm
(v)

16.38 cm

Question 23

23.

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 = 5 cm

(i)

3.33 cm
(ii)

5.33 cm
(iii)

1.33 cm
(iv)

2.33 cm
(v)

4.33 cm

Question 24

24.

Which of the following statements are true?

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

(i)

{e,a,b}
(ii)

{d,c}
(iii)

{b,c}
(iv)

{d,c,b}
(v)

{a,b}

Question 25

25.

In the given figure, I and J are centres of two circles with equal radii intersecting at K and L. If IJ = 20 cm and KL = 13.2 cm, find the radii of the circles

(i)

12.98 cm
(ii)

10.98 cm
(iii)

9.98 cm
(iv)

13.98 cm
(v)

11.98 cm

Assignment Key