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Problem of the Day #303: Triangle with Tangent Base January 16, 2012

Posted by Alex in : potd , trackback

A circle with radius $2$ has a center at point $C$. $\triangle ABC$ is constructed such that $\overline{AB}$ is tangent to circle $C$ at point $D$ and $D$ is the midpoint of $\overline{AB}$. Let $W$ be the area of the region inside $\triangle ABC$ but outside circle $C$ and $Q$ be the area of the region inside both $\triangle ABC$ and circle $C$. Find $\frac{W}{Q}$.

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1. Lamis Alsheikh - January 20, 2012

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