EduSahara™ Worksheet

Question 1

1.

In the given triangle S is the circumcentre. If SI = 13.70 cm, find the circumference of the circumcircle

(i)

87.1 cm
(ii)

85.1 cm
(iii)

84.1 cm
(iv)

88.1 cm
(v)

86.1 cm

Question 2

2.

Find the side of the square in the following figure if the radius of the circle is 14.00 cm.

(i)

18.80 cm
(ii)

17.80 cm
(iii)

21.80 cm
(iv)

20.80 cm
(v)

19.80 cm

Question 3

3.

If a chord BC = 19 cm is drawn in a circle with radius OB = 11 cm, find its distance from the centre of the circle

(i)

5.55 cm
(ii)

7.55 cm
(iii)

3.55 cm
(iv)

4.55 cm
(v)

6.55 cm

Question 4

4.

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

(i)

14.87 cm
(ii)

13.87 cm
(iii)

15.87 cm
(iv)

16.87 cm
(v)

12.87 cm

Question 5

5.

With the vertices of a triangle △DEF as centres, three circles are drawn touching each other externally. If the sides of the triangle are 7 cm , 13 cm and 10 cm , find the radii of the circles

(i)

2 cm , 5 cm & 13 cm respectively
(ii)

2 cm , 10 cm & 8 cm respectively
(iii)

2 cm , 5 cm & 8 cm respectively
(iv)

7 cm , 10 cm & 13 cm respectively
(v)

7 cm , 5 cm & 8 cm respectively

Question 6

6.

In the given figure, O is the centre of the circle. C is a point on chord AB such that AC = CB. Find ∠OCA

(i)

105°
(ii)

95°
(iii)

120°
(iv)

90°
(v)

100°

Question 7

7.

Which of the following statements are true?

a)

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

b)

22
7
is a rational number.

c)

All diameters of a circle are chords.

d)

π
is a rational number.

e)

All chords of a circle are diameters.

(i)

{a,b,c}
(ii)

{e,b}
(iii)

{d,a,b}
(iv)

{d,a}
(v)

{d,e,c}

Question 8

8.

DE is a line segment and G is its mid-point. Three semi-circles are drawn with DG , GE and DE as diameters. F , H and G respectively are the centres of these semi-circles. A new circle is drawn touching these three semi-circles. Find its radius, given DF = 6 cm

(i)

5.00 cm
(ii)

3.00 cm
(iii)

6.00 cm
(iv)

4.00 cm
(v)

2.00 cm

Question 9

9.

In the given figure, AB ∥ CD. Length of chords AB = 18 cm and CD = 25 cm.

If the distance between the chords is
4 cm
,
find the radius of the circle

(i)

16.53 cm
(ii)

12.53 cm
(iii)

14.53 cm
(iv)

15.53 cm
(v)

13.53 cm

Question 10

10.

In the given figure, FG ∥ HI. Length of chords FG = 23 cm and HI = 19 cm.

If the distance between the chords is
21 cm
,
find the radius of the circle

(i)

16.92 cm
(ii)

13.92 cm
(iii)

12.92 cm
(iv)

14.92 cm
(v)

15.92 cm

Question 11

11.

In the given figure, △HIJ is inscribed in a circle. If HI = HJ = 18 cm and IJ = 20 cm, find the radius of the circle

(i)

8.82 cm
(ii)

10.82 cm
(iii)

9.82 cm
(iv)

12.82 cm
(v)

11.82 cm

Question 12

12.

In the given figure, △BCD is an isosceles such that BC = BD. Given BO = 11 cm, BC = BD = 18 cm, find CD

(i)

21.70 cm
(ii)

18.70 cm
(iii)

19.70 cm
(iv)

20.70 cm
(v)

22.70 cm

Question 13

13.

In the given figure, EH & FG are two chords of equal length. Given ∠FGO = 38.5°, find ∠EOH

(i)

108°
(ii)

133°
(iii)

113°
(iv)

103°
(v)

118°

Question 14

14.

In the given figure, △ABC is equilateral. Given AO = 12 cm, find AB

(i)

18.78 cm
(ii)

22.78 cm
(iii)

19.78 cm
(iv)

20.78 cm
(v)

21.78 cm

Question 15

15.

Two concentric circles are of radii 24 cm and 12 cm. Find the length of the chord of the outer circle that touches the inner circle

(i)

40.57 cm
(ii)

43.57 cm
(iii)

39.57 cm
(iv)

41.57 cm
(v)

42.57 cm

Question 16

16.

In the given figure, G and H are centres of two circles with equal radii intersecting at I and J. If GH = 20 cm and IJ = 16.4 cm, find the radii of the circles

(i)

10.93 cm
(ii)

11.93 cm
(iii)

12.93 cm
(iv)

14.93 cm
(v)

13.93 cm

Question 17

17.

In the given figure, two circles of radii EG = 12.7 cm & FG = 12.7 cm intersect at G & H. The distance between the centres EF = 20 cm, find the length of GH