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How many non-overlapping circles with circumference 4π can be drawn in

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How many non-overlapping circles with circumference 4π can be drawn in  [#permalink]

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New post 30 Aug 2018, 05:08
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

57% (01:12) correct 43% (01:49) wrong based on 49 sessions

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Re: How many non-overlapping circles with circumference 4π can be drawn in  [#permalink]

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New post 30 Aug 2018, 05:41
Bunuel wrote:
How many non-overlapping circles with circumference 4π can be drawn in a square with side 12?

A. 36
B. 12
C. 9
D. 4
E. 3
Radius of circle to be inscribed =2 units
Diameter of circle to be inscribed =4 units

3 circles along the column =4*3=12 units
We can make 3 columns =3*3= 9 circles

Imho, answer is C

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Re: How many non-overlapping circles with circumference 4π can be drawn in  [#permalink]

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New post 30 Aug 2018, 06:55
Bunuel wrote:
How many non-overlapping circles with circumference 4π can be drawn in a square with side 12?

A. 36
B. 12
C. 9
D. 4
E. 3


Circumference of circle, 2πr=4π or, radius=2
Diameter of circle=4

Circles will not overlap with each other inside the square iff sum of diameter of circles is equal to the length of sides of the square bot in horizontal and vertical direction.

4+4+4=12 (horizontal direction), No of non-overlapping circles=3
4+4+4=12 (vertical direction), No of non-overlapping circles=3

So, total no of non-overlapping circles=3*3=9
Enclosure:- Diagram for visualization

Ans. (C)
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Re: How many non-overlapping circles with circumference 4π can be drawn in   [#permalink] 30 Aug 2018, 06:55
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How many non-overlapping circles with circumference 4π can be drawn in

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