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# In the figure above, the two circles are tangent to each other and eac

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Math Expert
Joined: 02 Sep 2009
Posts: 53709
In the figure above, the two circles are tangent to each other and eac  [#permalink]

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08 Mar 2019, 02:29
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Difficulty:

25% (medium)

Question Stats:

86% (01:42) correct 14% (00:57) wrong based on 14 sessions

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In the figure above, the two circles are tangent to each other and each circle is tangent to three sides of rectangle PQRS. If the area of PQRS is 72, what is the radius of each of the circles?

A. 3

B. $$3\sqrt{2}$$

C. $$3\sqrt{3}$$

D. 6

E. $$6\sqrt{2}$$

Attachment:

image024.jpg [ 3.79 KiB | Viewed 236 times ]

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Re: In the figure above, the two circles are tangent to each other and eac  [#permalink]

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08 Mar 2019, 02:32
PS*RS = 72
$$8*{radius}^2 = 72$$

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Re: In the figure above, the two circles are tangent to each other and eac  [#permalink]

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08 Mar 2019, 04:13
Bunuel wrote:

In the figure above, the two circles are tangent to each other and each circle is tangent to three sides of rectangle PQRS. If the area of PQRS is 72, what is the radius of each of the circles?

A. 3

B. $$3\sqrt{2}$$

C. $$3\sqrt{3}$$

D. 6

E. $$6\sqrt{2}$$

Attachment:
image024.jpg

72 = 2^3*3^2
and width = 2 * radius
or
IMO A
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Re: In the figure above, the two circles are tangent to each other and eac   [#permalink] 08 Mar 2019, 04:13
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