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

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Math Expert
Joined: 02 Sep 2009
Posts: 55640
How many non-overlapping circles with circumference 4 can be drawn in  [#permalink]

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14 Sep 2018, 01:49
00:00

Difficulty:

45% (medium)

Question Stats:

60% (02:14) correct 40% (01:55) wrong based on 10 sessions

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How many non-overlapping circles with circumference 4 can be drawn in a square with side 12?

A. 81
B. 36
C. 12
D. 9
E. 3

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Joined: 25 Nov 2015
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Location: India
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Re: How many non-overlapping circles with circumference 4 can be drawn in  [#permalink]

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14 Sep 2018, 02:01
Bunuel wrote:
How many non-overlapping circles with circumference 4 can be drawn in a square with side 12?

A. 81
B. 36
C. 12
D. 9
E. 3

Circumference=4=2$$\pi$$r
r=$$\frac{2}{\pi}$$
Diameter = $$\frac{4}{\pi}$$
Each side of square = 12
No. of non-overlapping circles on each side = $$\frac{12}{4/\pi}$$ = $$3\pi$$ = 9(Approx)
Total no. of circles = 9x9 = 81
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Re: How many non-overlapping circles with circumference 4 can be drawn in   [#permalink] 14 Sep 2018, 02:01
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