- The
apothem (sometimes
abbreviated as apo) of a
regular polygon is a line
segment from the
center to the
midpoint of one of its sides. Equivalently, it...
- {3}}\right)a^{2}\\&\simeq 11.19615242\,a^{2}\end{aligned}}} And in
terms of the
apothem r (see also
inscribed figure), the area is: A = 12 tan ( π 12 ) r 2 =...
-
distances from any
interior point to the n
sides is n
times the
apothem: p. 72 (the
apothem being the
distance from the
center to any side). This is a generalization...
- heptagon's vertices, and then
halving each
triangle using the
apothem as the
common side. The
apothem is half the
cotangent of π / 7 , {\displaystyle \pi /7...
-
perimeter times the
apothem. As the
number of
sides of the
regular polygon increases, the
polygon tends to a circle, and the
apothem tends to the radius...
- length, s the arc length, h the
sagitta (height) of the segment, d the
apothem of the segment, and a the area of the segment. Usually,
chord length and...
- as its cir****radius. The
inradius of a
regular polygon is also
called apothem. In
graph theory, the
radius of a
graph is the
minimum over all vertices...
- cir****circle,
which equals 2 3 {\displaystyle {\tfrac {2}{\sqrt {3}}}}
times the
apothem (radius of the
inscribed circle). All
internal angles are 120 degrees....
- h {\displaystyle h} and with a side
length of L {\displaystyle L} and
apothem a p {\displaystyle a_{p}} is
given by: A = 7 L ⋅ ( a p + h ) {\displaystyle...
- the
perimeter of the polygon, and r is the
inradius (equivalently the
apothem).
Substituting the
regular pentagon's
values for P and r
gives the formula...
