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Math Prize For Girls Problems
2017 Math Prize for Girls Problems
17
17
Part of
2017 Math Prize for Girls Problems
Problems
(1)
Math Prize 2017 Problem 17
Source:
9/27/2017
Circle
ω
1
\omega_1
ω
1
with radius 3 is inscribed in a strip
S
S
S
having border lines
a
a
a
and
b
b
b
. Circle
ω
2
\omega_2
ω
2
within
S
S
S
with radius 2 is tangent externally to circle
ω
1
\omega_1
ω
1
and is also tangent to line
a
a
a
. Circle
ω
3
\omega_3
ω
3
within
S
S
S
is tangent externally to both circles
ω
1
\omega_1
ω
1
and
ω
2
\omega_2
ω
2
, and is also tangent to line
b
b
b
. Compute the radius of circle
ω
3
\omega_3
ω
3
.
Math Prize for Girls