Apothem
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Apothem
Apothem is the length of a line perpendicular from the center to the midpoint of the side of a regular polygon.
A irregular polygon has no center so there can be no apothem.
Apothem Edge formula
A
=
s
2
t
a
n
(
180
n
)
Symbol
English
Metric
A
= apothem
i
n
m
m
s
= edge (side length)
i
n
m
m
n
= number of sides
d
i
m
e
n
s
i
o
n
l
e
s
s
t
a
n
=
tangent
d
e
g
r
a
d
Apothem Radius formula
A
=
r
c
o
s
(
180
n
)
Symbol
English
Metric
A
= apothem
i
n
m
m
c
o
s
=
cosine
d
e
g
r
a
d
n
= number of sides
d
i
m
e
n
s
i
o
n
l
e
s
s
r
=
radius
i
n
m
m
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