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Greece Junior Math Olympiad
1989 Greece Junior Math Olympiad
3
3
Part of
1989 Greece Junior Math Olympiad
Problems
(1)
circle tangent so 2 semicircles, square - Greece Juniors 1989 p3
Source:
9/14/2024
Given a square
A
B
C
D
ABCD
A
BC
D
of side
a
a
a
, we consider the circle
ω
\omega
ω
, tangent to side
B
C
BC
BC
and to the two semicircles of diameters
A
B
AB
A
B
and
C
D
CD
C
D
. Calculate the radius of circle
ω
\omega
ω
,
geometry
tangent circles