EduSahara™ Worksheet

Question 1

1.

In the given triangle S is the circumcentre. If SI = 12.20 cm, find the circumference of the circumcircle

(i)

74.7 cm
(ii)

75.7 cm
(iii)

76.7 cm
(iv)

78.7 cm
(v)

77.7 cm

Question 2

2.

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

(i)

17.38 cm
(ii)

18.38 cm
(iii)

16.38 cm
(iv)

20.38 cm
(v)

19.38 cm

Question 3

3.

If a chord AB = 22 cm is drawn in a circle with radius OA = 13 cm, find its distance from the centre of the circle

(i)

5.93 cm
(ii)

6.93 cm
(iii)

4.93 cm
(iv)

7.93 cm
(v)

8.93 cm

Question 4

4.

The diameter EF of a circle with centre 'O' is perpendicular to the chord CD. If CD = 10.00 cm and EG = 0.87 cm, find the radius of the circle.

(i)

16.87 cm
(ii)

13.87 cm
(iii)

12.87 cm
(iv)

15.87 cm
(v)

14.87 cm

Question 5

5.

Which of the following statements are true?

a)	The diameter is the longest chord.
b)	Atmost one chord can be drawn on a circle with a certain length.
c)	A chord divides a circle into two sectors.
d)	A chord divides a circle into two segments.
e)	The radius is the shortest chord.

(i)

{e,b,a}
(ii)

{c,d}
(iii)

{b,a}
(iv)

{c,d,a}
(v)

{a,d}

Question 6

6.

Which of the following statements are true?

a)	Equal length chords are equidistant from the centre of the circle.
b)	Equal length chords subtend equal angles at the centre of the circle.
c)	No two chords bisects each other.
d)	The longest chord of the circle passes through the centre of the circle.
e)	The farther the chord is from the centre, the larger the angle it subtends at the centre.

(i)

{c,a,b}
(ii)

{c,e,d}
(iii)

{c,a}
(iv)

{a,b,d}
(v)

{e,b}

Question 7

7.

Which of the following statements are true?

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

(i)

{b,c,e}
(ii)

{a,b}
(iii)

{a,b,c}
(iv)

{d,c}
(v)

{a,d,e}

Question 8

8.

Which of the following statements are true?

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

(i)

{a,c}
(ii)

{b,e,c}
(iii)

{d,a,c}
(iv)

{c,e}
(v)

{b,e}

Question 9

9.

BC , DE , FG , HI are chords of a circle with BC = 6 cm , DE = 2 cm , FG = 5.9 cm and HI = 4.02 cm. The chord farthest from the centre of the circle is

(i)

DE = 2 cm
(ii)

BC = 6 cm
(iii)

FG = 5.9 cm
(iv)

HI = 4.02 cm

Question 10

10.

In the given figure, A and B are centres of two circles with equal radii intersecting at C and D. If AB = 20 cm and CD = 13.4 cm, find the radii of the circles

(i)

11.04 cm
(ii)

10.04 cm
(iii)

14.04 cm
(iv)

12.04 cm
(v)

13.04 cm

Question 11

11.

In the given figure, two circles of radii CE = 18 cm & DE = 11.2 cm intersect at E & F. The distance between the centres CD = 20 cm, find the length of EF