The circle with center C shown above is tangent to both axes

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The circle with center C shown above is tangent to both axes [#permalink]

29 Dec 2012, 05:28

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The circle with center C shown above is tangent to both axes. If the distance from O to C is equal to k, what is the radius of the circle, in terms of k ?

(A) k
(B) \frac{k}{\sqrt{2}}
(C) \frac{k}{\sqrt{3}}
(D) \frac{k}{2}
(E) \frac{k}{3}

[Reveal] Spoiler: OA

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Re: The circle with center C shown above is tangent to both axes [#permalink]

29 Dec 2012, 05:32

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Since OC=k, then r^2+r^2=k^2 --> r=\frac{k}{\sqrt{2}}.

Answer: B.
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Re: The circle with center C shown above is tangent to both axes [#permalink] 29 Dec 2012, 05:32

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The circle with center C shown above is tangent to both axes

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The circle with center C shown above is tangent to both axes

The circle with center C shown above is tangent to both axes

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