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National and Regional Contests
Iran Contests
Iran MO (3rd Round)
2004 Iran MO (3rd Round)
8
8
Part of
2004 Iran MO (3rd Round)
Problems
(1)
Easy
Source: Iran 2004
9/16/2004
P
\mathbb{P}
P
is a n-gon with sides
l
1
,
.
.
.
,
l
n
l_1 ,...,l_n
l
1
ā
,
...
,
l
n
ā
and vertices on a circle. Prove that no n-gon with this sides has area more than
P
\mathbb{P}
P
geometry
perimeter
geometry proposed