WOLFRAM|DEMONSTRATIONS PROJECT

One-Half the Apothem Times the Perimeter

​
number of sides
3
show all apothems
highlight a sector
show values
circumradius
=
1
apothem
=
0.5000
perimeter
=
5.1962
area
=
1.2990
An apothem of a regular polygon is the length of the segment from the center to the midpoint of a side. The area of a regular polygon can be calculated as one-half the apothem multiplied by the perimeter. This Demonstration explains why that formula works.