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1966 All Russian Mathematical Olympiad
078
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1966 All Russian Mathematical Olympiad
Problems
(1)
ASU 078 All Russian MO 1966 circle of radius S/P inside a convex polygon
Source:
6/19/2019
Prove that you can always pose a circle of radius
S
/
P
S/P
S
/
P
inside a convex polygon with the perimeter
P
P
P
and area
S
S
S
.
convex polygon
circle
geometry