MathDB
Problems
Contests
Undergraduate contests
Putnam
1946 Putnam
B1
B1
Part of
1946 Putnam
Problems
(1)
Putnam 1946 B1
Source: Putnam 1946
3/13/2022
Let
K
K
K
denote the circumference of a circular disk of radius
1
1
1
, and let
k
k
k
denote a circular arc that joins two points
a
,
b
a,b
a
,
b
on
K
K
K
and lies otherwise in the given circular disc. Suppose that
k
k
k
divides the circular disk into two parts of equal area. Prove that the length of
k
k
k
exceeds
2.
2.
2.
Putnam
geometry