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Problem Solving (PS) | If a smaller circle is inscribed in an equilateral triangle and a lage

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MathRevolution wrote:

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If a smaller circle is inscribed in an equilateral triangle and a lager circle circumscribed about the triangle shown as above figure, what is the ratio of the smaller circle’s area to the larger circle’s area?

A. 1:2
B. 1:√3
C. 1:3
D. 1:4
E. 1:5

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The equilateral triangle can be used for a quick answer.

An equilateral triangle can be divided, by its three medians, into 6 equal 30-60-90
...

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