# Difference between revisions of "Mock AIME 3 Pre 2005 Problems/Problem 7"

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+ | ==Problem== | ||

+ | <math>ABCD</math> is a cyclic quadrilateral that has an inscribed circle. The diagonals of <math>ABCD</math> intersect at <math>P</math>. If <math>AB = 1, CD = 4,</math> and <math>BP : DP = 3 : 8,</math> then the area of the inscribed circle of <math>ABCD</math> can be expressed as <math>\frac{p\pi}{q}</math>, where <math>p</math> and <math>q</math> are relatively prime positive integers. Determine <math>p + q</math>. | ||

− | + | ==Solution== | |

+ | {{solution}} | ||

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+ | ==See also== |

## Revision as of 07:32, 14 February 2008

## Problem

is a cyclic quadrilateral that has an inscribed circle. The diagonals of intersect at . If and then the area of the inscribed circle of can be expressed as , where and are relatively prime positive integers. Determine .

## Solution

*This problem needs a solution. If you have a solution for it, please help us out by adding it.*