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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.

Q31

Q31 If area of square is 50 sq.unit, find the approximate area of circle with the same perimeter.

A

50sq.unit

B

 502sq.unit 

C

60sq.unit

D

63sq.unit

Q32

Q32 The wheel of an engine turns 30 times round its axle to cover a distance of 1.80 km. The diameter of
the wheel is?

A

50m

B

125m

C

200m

D

275m

Q33

Q33 If radius of circle is decreased by 3% , find the decrease percentage in area of circle.

A

5%

B

5.91%

C

3%

D

3.75%

Q34

Q34 The circumferences of two circles are in the ratio 7 : 9. What is the ratio of their areas?

A

4781 

B

4881 

C

4981 

D

5081 

Q35

Q35 The inner circumference of a circular 7 m wide pathway is 440 m. Find the radius of the outer circle.

A

484

B

447

C

748

D

884

Q36

Q36 The area of a sector of a circle is 14 sq cm and the angle of the sector is 55°. Find the radius of the
circle.

A

4011cm 

B

 3911cm 

C

 3211cm 

D

  7111cm

Q37

Q37 What is the area of the larger segment circle formed by a chord of length 50 cm subtending an angle of
180° on the circle?

A

11700cm2

B

11777cm2

C

11900cm2

D

11775cm2

Q38

Q38 Find the area of circle with maximum radius that can be inscribed in the rectangle of
length 61 cm and breadth 52 cm.

A

2123.71cm2

B

2125cm2

C

2500cm2

D

2134.86cm2

Q39

Q39 The largest triangle is inscribed in a semi-circle of radius 32 cm. Find the area inside the
semi-circle which is not occupied by triangle.

A

2730

B

2830

C

3989

D

2989

Q40

Q40 Mahendra Singh Dhoni was running on a circular track with speed 29.7km/h and completed the round in 0.75 minutes. Find area of circular track.

A

34618.5m2

B

34600m2

C

32618.5m2

D

32600m2