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2005 AIME Problems
11
A Semicircle and a Square
A Semicircle and a Square
Source:
November 12, 2005
geometry
rotation
rectangle
similar triangles
Problem Statement
A semicircle with diameter
d
d
d
is contained in a square whose sides have length
8
8
8
. Given the maximum value of
d
d
d
is
m
−
n
m- \sqrt{n}
m
−
n
, find
m
+
n
m+n
m
+
n
.
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