EduSahara™ Worksheet

Question 1

1.

The diameter CD of a circle with centre 'O' is perpendicular to the chord AB. If AB = 22.00 cm and CE = 5.21 cm, find the radius of the circle.

(i)

14.21 cm
(ii)

13.21 cm
(iii)

15.21 cm
(iv)

12.21 cm
(v)

16.21 cm

Question 2

2.

In the given figure, ABCDEF is a regular hexagon. Find ∠ACB

(i)

30°
(ii)

35°
(iii)

60°
(iv)

40°
(v)

45°

Question 3

3.

Which of the following statements are true?

a)	A cyclic kite is a square.
b)	A cyclic trapezium is a rectangle.
c)	A cyclic parallelogram is a rectangle.
d)	A cyclic parallelogram is a rhombus.
e)	A cyclic rhombus is a square.

(i)

{b,e}
(ii)

{a,c}
(iii)

{b,e,c}
(iv)

{c,e}
(v)

{d,a,c}

Question 4

4.

If the radius of a circle is 91 cm, what is its diameter?

(i)

180 cm
(ii)

181 cm
(iii)

183 cm
(iv)

184 cm
(v)

182 cm

Question 5

5.

Which of the following statements are true?

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

(i)

{a,b}
(ii)

{c,e,b}
(iii)

{c,e}
(iv)

{b,e}
(v)

{d,a,b}

Question 6

6.

In the given figure, O is the centre of the circle. If ∠BCO = 41° and ∠OEB = 10°, find ∠CDE

(i)

139°
(ii)

129°
(iii)

144°
(iv)

134°
(v)

159°

Question 7

7.

A line which intersects the circle at two distinct points is called a

(i)

centre
(ii)

radius
(iii)

secant
(iv)

quadrant
(v)

circumference

Question 8

8.

If two circles are concentric, then

(i)

their radii are same
(ii)

their diameters are same
(iii)

their perimeters are same
(iv)

their centres are same

Question 9

9.

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

(i)

14.14 cm
(ii)

12.14 cm
(iii)

16.14 cm
(iv)

13.14 cm
(v)

15.14 cm

Question 10

10.

In the given figure, O is the centre of the circle. If ∠DEB = 68°, find ∠BCD

(i)

112°
(ii)

127°
(iii)

122°
(iv)

142°
(v)

117°

Question 11

11.

In the given figure, O is the centre of the circle, and OM ⟂ IJ. If ∠IJK = 44.5°, find ∠OLK

(i)

45.5°
(ii)

55.5°
(iii)

60.5°
(iv)

50.5°
(v)

75.5°

Question 12

12.

Two concentric circles are of radii 18 cm and 8 cm. Find the length of the chord of the outer circle that touches the inner circle

(i)

33.25 cm
(ii)

32.25 cm
(iii)

30.25 cm
(iv)

34.25 cm
(v)

31.25 cm

Question 13

13.

In the given figure, C and D are centres of two circles with equal radii intersecting at E and F. If CD = 20 cm and EF = 10.6 cm, find the radii of the circles

(i)

13.32 cm
(ii)

11.32 cm
(iii)

10.32 cm
(iv)

12.32 cm
(v)

9.32 cm

Question 14

14.

If IJKL is a cyclic parallelogram, then ∠L

(i)

95°
(ii)

90°
(iii)

100°
(iv)

120°
(v)

105°

Question 15

15.

A line segment having its end points on the circle is called a

(i)

major segment
(ii)

centre
(iii)

segment
(iv)

chord
(v)

radius

Question 16

16.

In the given figure, EF is a side of regular 10-sided polygon and EG is a side of regular 5-sided polygon inscribed in a circle with centre O. Find ∠EGF