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2018 JHMT
1
2018 JHMT Geometry #1
2018 JHMT Geometry #1
Source:
September 5, 2023
geometry
Problem Statement
Let
m
m
m
be the area and let
n
n
n
be the perimeter of a regular octagon. The ratio
m
2
n
\frac{m^2}{n}
n
m
2
can be expressed as
p
tan
(
q
π
)
p \tan (q \pi)
p
tan
(
q
π
)
where
p
p
p
is a positive integer. Find
p
q
pq
pq
.
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