EduSahara™ Worksheet

Question 1

1.

In the given figure, d = 16.00 cm is the diameter of the semi-circles. Find the area of the shaded region

(i)

415.29 sq.cm
(ii)

388.29 sq.cm
(iii)

397.29 sq.cm
(iv)

402.29 sq.cm
(v)

416.29 sq.cm

Question 2

2.

Which of the following statements are true?

a)	One and only one tangent can be drawn to a circle from a point outside it.
b)	An infinite number of chords may be drawn for a circle.
c)	An infinite number of diameters may be drawn for a circle.
d)	Two semi-circles of a circle together make the whole circle.
e)	Every circle has a unique diameter.

(i)

{b,c,d}
(ii)

{a,b}
(iii)

{e,c}
(iv)

{a,e,d}
(v)

{a,b,c}

Question 3

3.

In the given figure, ABCD is a square of side 10.00 cm and A, B, C, D are the centres of circular arcs, each of radius 5.00 cm. Find the area of the shaded region

(i)

26.43 sq.cm
(ii)

24.43 sq.cm
(iii)

21.43 sq.cm
(iv)

16.43 sq.cm
(v)

18.43 sq.cm

Question 4

4.

In the given figure, ABCD is a square of side 13.00 cm . At the centre there is a circle with radius 3.25 cm and the same circle quadrants are at the four corners. Find the area of the shaded region.

(i)

94.61 sq.cm
(ii)

115.61 sq.cm
(iii)

102.61 sq.cm
(iv)

90.61 sq.cm
(v)

117.61 sq.cm

Question 5

5.

Find the area of the shaded region

(i)

145.36 sq.cm
(ii)

147.36 sq.cm
(iii)

171.36 sq.cm
(iv)

130.36 sq.cm
(v)

138.36 sq.cm

Question 6

6.

'I' and 'J' are centres of circles of radii 2 cm and 4 cm such that IJ = 10 cm and 'K' is the centre of the circle of radius 'r' cm which touches the above circles externally. If ∠IKJ = 90°, find 'r'

(i)

4 cm
(ii)

3 cm
(iii)

5 cm
(iv)

2 cm
(v)

6 cm

Question 7

7.

The angle subtended by the diameter at any point on the circle is

(i)

105°
(ii)

100°
(iii)

90°
(iv)

120°
(v)

95°

Question 8

8.

The minor arc of the circle is

(i)

EHFIE
(ii)

EGFIE
(iii)

JEHFJ
(iv)

EGF
(v)

EHF

Question 9

9.

Which of the following statements are true?

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

(i)

{c,d}
(ii)

{a,d,e}
(iii)

{b,a}
(iv)

{b,a,d}
(v)

{b,c,e}

Question 10

10.

The major arc of the circle is

(i)

GBECG
(ii)

BDC
(iii)

BECFB
(iv)

BDCFB
(v)

BEC

Question 11

11.

If the diameter of a circle is 182 cm, what is its radius?

(i)

91 cm
(ii)

92 cm
(iii)

89 cm
(iv)

90 cm
(v)

93 cm

Question 12

12.

If two circles
intersect
,
the number of their common tangents is

(i)

1
(ii)

(-1)
(iii)

2
(iv)

5
(v)

3

Question 13

13.

In the given figure ,PQRS is the diameter of the circle of radius 13.50 cm and PQ = QR = RS. Find the perimeter of the shaded region

(i)

89.86 cm
(ii)

87.86 cm
(iii)

84.86 cm
(iv)

79.86 cm
(v)

81.86 cm

Question 14

14.

In the given figure, BT & CT are tangents to the circle with centre O. Given OB = 10 cm and BC = 18 cm, find BT

(i)

20.65 cm
(ii)

22.65 cm
(iii)

21.65 cm
(iv)

19.65 cm
(v)

18.65 cm

Question 15

15.

The centre of the circle is

(i)

L
(ii)

K
(iii)

M
(iv)

N
(v)

Q

Question 16

16.

Find the area of the shaded region in the given figure common between the two quadrants of circles of radius 10.00 cm each

(i)

57.14 sq.cm
(ii)

60.14 sq.cm
(iii)

52.14 sq.cm
(iv)

54.14 sq.cm
(v)

62.14 sq.cm

Question 17

17.

The perimeter of a circle is called

(i)

diameter
(ii)

major segment
(iii)

chord
(iv)

radius
(v)

circumference

Question 18

18.

If the radius of a circle is 70 cm, what is its diameter?

(i)

140 cm
(ii)

138 cm
(iii)

141 cm
(iv)

142 cm
(v)

139 cm

Question 19

19.

In the given figure, find the angles of the quadrilateral.

(i)
C

=

103°

,

D

=

90°

,

E

=

77°

,

F

=

90°
(ii)
C

=

105°

,

D

=

90°

,

E

=

75°

,

F

=

90°
(iii)
C

=

106°

,

D

=

90°

,

E

=

74°

,

F

=

90°
(iv)
C

=

104°

,

D

=

90°

,

E

=

76°

,

F

=

90°
(v)
C

=

107°

,

D

=

90°

,

E

=

73°

,

F

=

90°

Question 20

20.

In the given figure △ABC is an equilateral triangle whose area is 73.18 sq.cm. With each vertex of the triangle as center, a circle is drawn with radius equal to half the length of the side of the triangle . Find the area of the shaded region

(i)

5.79 sq.cm
(ii)

7.79 sq.cm
(iii)

4.79 sq.cm
(iv)

8.79 sq.cm
(v)

6.79 sq.cm

Question 21

21.

In the given figure, ABCD is a square of side 15.00 cm . At the centre there is a circle with radius 3.75 cm and the same circle quadrants are at the four corners. Find the perimeter of the shaded region.

(i)

80.14 cm
(ii)

82.14 cm
(iii)

72.14 cm
(iv)

77.14 cm
(v)

74.14 cm

Question 22

22.

In the given figure, BC = 12 cm and AB = 11 cm. Find the perimeter of the shaded region

(i)

87.44 cm
(ii)

93.44 cm
(iii)

90.44 cm
(iv)

95.44 cm
(v)

85.44 cm

Question 23

23.

The mid-point of the diameter of a circle is called

(i)

centre
(ii)

semi-circle
(iii)

major segment
(iv)

diameter
(v)

circumference

Question 24

24.

The major segment of the circle is

(i)

HJILH
(ii)

HKILH
(iii)

MHJIM
(iv)

MHKIM
(v)

HJI

Question 25

25.

Which of the following statements are true?

a)	Two different tangents can meet at a point on the circle.
b)	If two tangents to a circle intersect, their points of contact with the circle together with their point of intersection form an isosceles triangle.
c)	If two tangents are parallel, the distance between them is equal to the diameter of the circle.
d)	If two tangents are perpendicular, they form a right angled triangle with their points of contact with the circle and their point of intersection.
e)	A line parallel to a tangent is a secant.

(i)

{a,e,d}
(ii)

{a,b,c}
(iii)

{b,c,d}
(iv)

{e,c}
(v)

{a,b}

Assignment Key