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Putnam
1949 Putnam
B3
B3
Part of
1949 Putnam
Problems
(1)
Putnam 1949 B3
Source: Putnam 1949
3/20/2022
Let
K
K
K
be a closed plane curve such that the distance between any two points of
K
K
K
is always less than
1.
1.
1.
Show that
K
K
K
lies in a circle of radius
1
3
.
\frac{1}{\sqrt{3}}.
3
1
.
Putnam
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