EduSahara™ Worksheet

Question 1

1.

In the given triangle S is the circumcentre. If SC = 13.40 cm, find the circumference of the circumcircle

(i)

85.2 cm
(ii)

83.2 cm
(iii)

82.2 cm
(iv)

86.2 cm
(v)

84.2 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)

17.80 cm
(ii)

21.80 cm
(iii)

18.80 cm
(iv)

19.80 cm
(v)

20.80 cm

Question 3

3.

If a chord AB = 17 cm is drawn in a circle with radius OA = 10 cm, find its distance from the centre of the circle

(i)

3.27 cm
(ii)

4.27 cm
(iii)

5.27 cm
(iv)

6.27 cm
(v)

7.27 cm

Question 4

4.

The diameter DE of a circle with centre 'O' is perpendicular to the chord BC. If BC = 30.00 cm and DF = 7.21 cm, find the radius of the circle.

(i)

21.21 cm
(ii)

20.21 cm
(iii)

18.21 cm
(iv)

17.21 cm
(v)

19.21 cm

Question 5

5.

With the vertices of a triangle △ABC as centres, three circles are drawn touching each other externally. If the sides of the triangle are 9 cm , 16 cm and 13 cm , find the radii of the circles

(i)

8 cm , 6 cm & 10 cm respectively
(ii)

3 cm , 6 cm & 15 cm respectively
(iii)

8 cm , 11 cm & 15 cm respectively
(iv)

3 cm , 11 cm & 10 cm respectively
(v)

3 cm , 6 cm & 10 cm respectively

Question 6

6.

In the given figure, O is the centre of the circle. F is a point on chord DE such that DF = FE. Find ∠OFD

(i)

120°
(ii)

100°
(iii)

105°
(iv)

90°
(v)

95°

Question 7

7.

Which of the following statements are true?

a)

All diameters of a circle are chords.

b)

π
is a rational number.

c)

All chords of a circle are diameters.

d)

22
7
is a rational number.

e)

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

(i)

{b,c,e}
(ii)

{b,a}
(iii)

{c,d}
(iv)

{b,a,d}
(v)

{a,d,e}

Question 8

8.

AB is a line segment and D is its mid-point. Three semi-circles are drawn with AD , DB and AB as diameters. C , E and D respectively are the centres of these semi-circles. A new circle is drawn touching these three semi-circles. Find its radius, given AC = 8 cm

(i)

5.33 cm
(ii)

4.33 cm
(iii)

3.33 cm
(iv)

7.33 cm
(v)

6.33 cm

Question 9

9.

In the given figure, FG ∥ HI. Length of chords FG = 19 cm and HI = 28 cm.

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

(i)

14.58 cm
(ii)

16.58 cm
(iii)

12.58 cm
(iv)

15.58 cm
(v)

13.58 cm

Question 10

10.

In the given figure, HI ∥ JK. Length of chords HI = 21 cm and JK = 24 cm.

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

(i)

16.43 cm
(ii)

14.43 cm
(iii)

13.43 cm
(iv)

17.43 cm
(v)

15.43 cm

Question 11

11.

In the given figure, △EFG is inscribed in a circle. If EF = EG = 16 cm and FG = 20 cm, find the radius of the circle

(i)

9.25 cm
(ii)

11.25 cm
(iii)

8.25 cm
(iv)

12.25 cm
(v)

10.25 cm

Question 12

12.

In the given figure, △HIJ is an isosceles such that HI = HJ. Given HO = 11 cm, HI = HJ = 18 cm, find IJ

(i)

18.70 cm
(ii)

19.70 cm
(iii)

20.70 cm
(iv)

22.70 cm
(v)

21.70 cm

Question 13

13.

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

(i)

133°
(ii)

103°
(iii)

113°
(iv)

108°
(v)

118°

Question 14

14.

In the given figure, △HIJ is equilateral. Given HO = 12 cm, find IJ

(i)

21.78 cm
(ii)

20.78 cm
(iii)

18.78 cm
(iv)

19.78 cm
(v)

22.78 cm

Question 15

15.

Two concentric circles are of radii 19 cm and 10 cm. Find the length of the chord of the outer circle that touches the inner circle

(i)

31.31 cm
(ii)

30.31 cm
(iii)

32.31 cm
(iv)

33.31 cm
(v)

34.31 cm

Question 16

16.

In the given figure, B and C are centres of two circles with equal radii intersecting at D and E. If BC = 20 cm and DE = 11.2 cm, find the radii of the circles

(i)

11.46 cm
(ii)

13.46 cm
(iii)

12.46 cm
(iv)

9.46 cm
(v)

10.46 cm

Question 17

17.

In the given figure, two circles of radii BD = 11.5 cm & CD = 14.6 cm intersect at D & E. The distance between the centres BC = 20 cm, find the length of DE