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Circles Questions & Answers

Practice important Circles questions that have been prepared by professionals by analyzing questions patterns. Circles questions and answers have a low weightage in the examination and hence must be perfected with practice.

Q21

Q21 The radius of a circle is increased by 33% . Find increase percentage in area of circle.

A

77

B

77.84

C

76.89

D

76

Q22

Q22 What is the area of a semi-circle if area of circle is equal to that of a triangle with sides 9 cm, 21 cm and 20 cm?

A

5000

B

8000

C

4000

D

9000

Q23

Q23 A circle of radius 96 cm has an equilateral triangle inscribed in it. The length of the perpendicular
drawn from the centre to any side of the triangle is?

A

48

B

49

C

98

D

96

Q24

Q24 Harsh has a circular garden and he is standing at the centre of the garden. He has grown a number of sunflowers in his garden making an equilateral triangle of maximum length. Find the smallest distance such that he can reach to a sunflower if radius of garden is 56m.

A

28

B

50

C

55

D

56

Q25

Q25 XY and AB are two mutually perpendicular diameters. Find the ratio of area of triangle AXB to area of quadrilateral AXBY.

A

12 

B

 34 

C

56

D

 78

Q26

Q26 Area of square is 169 sq. cm and diameter of cirlce is 1 cm greater than side of square. Find the area of circle.

A

150cm2

B

154cm2

C

158cm2

D

168cm2

Q27

Q27 The circumference of a circle is 98 cm. Find the side of square inscribed in the circle.

A

542cm 

B

 562cm 

C

 762cm 

D

 742cm

Q28

Q28 A rectangle of maximum area is drawn in the circle of area 5388.24
sq.cm.Find the maximum area of the rectangle.

A

3434cm2

B

3432cm2

C

4434cm2

D

3444cm2

Q29

Q29 Find area of largest circle that can be drawn in rectangle of length 39cm and breadth 35 cm.

A

900cm2

B

930cm2

C

962cm2

D

992cm2

Q30

Q30 If a rectangle of maximum area is inscribed in the circle and area of circle decrases by 10%, find the decrease pecentage in area of rectangle.

A

75%

B

36%

C

10%

D

8%