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

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

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New post 08 Mar 2019, 02:29
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A
B
C
D
E

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  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
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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New post 08 Mar 2019, 02:32
PS*RS = 72
Also, PS = 4*radius and RS = 2*radius.
\(8*{radius}^2 = 72\)
radius = 3

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

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New post 08 Mar 2019, 04:13
Bunuel wrote:
Image
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
length = 4* radius
and width = 2 * radius
or
8*radius ^2 = 72
radius =3
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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In the figure above, the two circles are tangent to each other and eac

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