EduSahara™ Worksheet

Question 1

1.

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

(i)

83.5 cm
(ii)

84.5 cm
(iii)

87.5 cm
(iv)

85.5 cm
(v)

86.5 cm

Question 2

2.

Find the side of the square in the following figure if the radius of the circle is 10.00 cm.

(i)

12.14 cm
(ii)

16.14 cm
(iii)

13.14 cm
(iv)

14.14 cm
(v)

15.14 cm

Question 3

3.

If a chord GH = 15 cm is drawn in a circle with radius OG = 10 cm, find its distance from the centre of the circle

(i)

5.61 cm
(ii)

4.61 cm
(iii)

8.61 cm
(iv)

6.61 cm
(v)

7.61 cm

Question 4

4.

The diameter CD of a circle with centre 'O' is perpendicular to the chord AB. If AB = 18.00 cm and CE = 2.49 cm, find the radius of the circle.

(i)

19.49 cm
(ii)

17.49 cm
(iii)

18.49 cm
(iv)

15.49 cm
(v)

16.49 cm

Question 5

5.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{a,c}
(iii)

{d,c,a}
(iv)

{d,c}
(v)

{e,b,a}

Question 6

6.

Which of the following statements are true?

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

(i)

{a,b,d}
(ii)

{c,a,b}
(iii)

{c,a}
(iv)

{c,e,d}
(v)

{e,b}

Question 7

7.

Which of the following statements are true?

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

(i)

{a,d,e}
(ii)

{c,d}
(iii)

{b,a,d}
(iv)

{b,a}
(v)

{b,c,e}

Question 8

8.

Which of the following statements are true?

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

(i)

{d,b,a}
(ii)

{d,b}
(iii)

{a,b}
(iv)

{c,a}
(v)

{e,c,a}

Question 9

9.

AB , CD , EF , GH are chords of a circle with AB = 5 cm , CD = 4 cm , EF = 6.6 cm and GH = 6.07 cm. The chord farthest from the centre of the circle is

(i)

AB = 5 cm
(ii)

GH = 6.07 cm
(iii)

CD = 4 cm
(iv)

EF = 6.6 cm

Question 10

10.

In the given figure, J and K are centres of two circles with equal radii intersecting at L and M. If JK = 20 cm and LM = 18.4 cm, find the radii of the circles

(i)

12.59 cm
(ii)

11.59 cm
(iii)

15.59 cm
(iv)

13.59 cm
(v)

14.59 cm

Question 11

11.

In the given figure, two circles of radii FH = 15.3 cm & GH = 10.1 cm intersect at H & I. The distance between the centres FG = 20 cm, find the length of HI