EduSahara™ Worksheet

Question 1

1.

DE , FG , HI , JK are chords of a circle with DE = 7 cm , FG = 3 cm , HI = 6.1 cm and JK = 6.01 cm. The chord farthest from the centre of the circle is

(i)

JK = 6.01 cm
(ii)

DE = 7 cm
(iii)

HI = 6.1 cm
(iv)

FG = 3 cm

Question 2

2.

The distance around the circle is called

(i)

diameter
(ii)

circumference
(iii)

arc
(iv)

radius
(v)

chord

Question 3

3.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{d,b,a}
(iii)

{c,e,a}
(iv)

{a,e}
(v)

{c,e}

Question 4

4.

Which of the following figures represent a diameter ?

(i)

fig IV
(ii)

fig III
(iii)

fig II
(iv)

fig I
(v)

fig V

Question 5

5.

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

(i)

100°
(ii)

120°
(iii)

105°
(iv)

90°
(v)

95°

Question 6

6.

If two circles are concentric, then

(i)

their perimeters are same
(ii)

their centres are same
(iii)

their diameters are same
(iv)

their radii are same

Question 7

7.

In the given figure, △FGH is an isosceles such that FG = FH. Given FO = 11 cm, FG = FH = 17 cm, find GH

(i)

22.58 cm
(ii)

21.58 cm
(iii)

20.58 cm
(iv)

19.58 cm
(v)

23.58 cm

Question 8

8.

In the given figure, BC & DE are diameters of the circle. If ∠BCD = 39.5° find, ∠COD

(i)

131°
(ii)

111°
(iii)

101°
(iv)

116°
(v)

106°

Question 9

9.

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

(i)

tangent
(ii)

major segment
(iii)

centre
(iv)

quadrant
(v)

semi-circle

Question 10

10.

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

(i)

chord
(ii)

diameter
(iii)

semi-circle
(iv)

major segment
(v)

circumference

Question 11

11.

The perimeter of a circle is called

(i)

circumference
(ii)

segment
(iii)

semi-circle
(iv)

radius
(v)

diameter

Question 12

12.

Two concentric circles are of radii 17 cm and 10 cm. Find the length of the chord of the outer circle that touches the inner circle

(i)

25.50 cm
(ii)

27.50 cm
(iii)

26.50 cm
(iv)

28.50 cm
(v)

29.50 cm

Question 13

13.

Find the side of the square in the following figure if the radius of the circle is 19.00 cm.

(i)

25.87 cm
(ii)

28.87 cm
(iii)

26.87 cm
(iv)

27.87 cm
(v)

24.87 cm

Question 14

14.

Which of the following statements are true?

a)	A radius is a limiting case of a diameter.
b)	A secant and a chord are same.
c)	A tangent is the limiting case of a secant.
d)	A secant has two end points.
e)	A diameter is a limiting case of a chord.

(i)

{b,e,c}
(ii)

{c,e}
(iii)

{b,e}
(iv)

{d,a,c}
(v)

{a,c}

Question 15

15.

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

(i)

incentre
(ii)

excentre
(iii)

orthocentre
(iv)

circumcentre
(v)

centroid

Question 16

16.

Which of the following figures represent a tangent ?

(i)

fig I
(ii)

fig II
(iii)

fig V
(iv)

fig III
(v)

fig IV

Question 17

17.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{e,c}
(iii)

{a,c,d}
(iv)

{b,e,d}
(v)

{b,a,c}

Question 18

18.

Which of the following statements are true?

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

(i)

{a,d,e}
(ii)

{b,c,e}
(iii)

{c,d}
(iv)

{b,a}
(v)

{b,a,d}

Question 19

19.

The diameter LM of a circle with centre 'O' is perpendicular to the chord JK. If JK = 28.00 cm and LN = 6.44 cm, find the radius of the circle.

(i)

16.44 cm
(ii)

18.44 cm
(iii)

19.44 cm
(iv)

20.44 cm
(v)

17.44 cm

Question 20

20.

Identify the figure below

(i)

octagon
(ii)

quadrilateral
(iii)

circle
(iv)

triangle
(v)

pentagon

Question 21

21.

The major segment of the circle is

(i)

ILJMI
(ii)

IKJMI
(iii)

NIKJN
(iv)

ILJ
(v)

NILJN

Question 22

22.

In triangle JKL, if a circle is drawn with KL as diameter and if it passes through J it is a

(i)

right angle triangle
(ii)

obtuse angled triangle
(iii)

equilateral triangle
(iv)

acute angled triangle

Question 23

23.

Half of a circle is called

(i)

centre
(ii)

semi-circle
(iii)

radius
(iv)

major segment
(v)

diameter

Question 24

24.

Which of the following statements are true?

a)

22
7
is a rational number.

b)

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

c)

π
is a rational number.

d)

All diameters of a circle are chords.

e)

All chords of a circle are diameters.

(i)

{c,a,b}
(ii)

{c,a}
(iii)

{a,b,d}
(iv)

{c,e,d}
(v)

{e,b}

Question 25

25.

The minor sector of the circle is

(i)

KNL
(ii)

PKMLP
(iii)

PKNLP
(iv)

KML
(v)

KMLOK

Assignment Key