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Problem of the Day #358: Albert March 11, 2012

Posted by Sreenath in : potd , trackback

Inspired by a problem from the  2012 VCU Programming Contest

Albert likes to draw circles. He first draws a circle of radius $100$. Then he draws a circle of radius $15$ whose center is $d$ units away from the center of the bigger circle. Find $d$ such that $\frac{3}{4}$ of the area of the smaller circle is within the bigger circle.

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