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}} | ||
| + | |||
| + | ==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
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