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Area and perimeter of a regular polygon

polygon

polygon C c R r A B C D E F G H a a a a a a a a O
aedge
Ccircumcircle
cincircle
Rradius (circumcircle)
rradius (incircle)
Ocenter

Calculator

Select the units of measurement

Enter the number of edges

number of edges

n =

Enter 1 value

edge

a =

circumcircle (radius)

R =

incircle (radius)

r =

area

A =

perimeter

P =

Error

Round to decimal place

Calculation procedure

Formulas

polygon

nnumber of edges
area
$$ A = \frac{1}{4} n a^2 \cot\frac{180^\circ}{n} $$
perimeter
$$ P = n \cdot a $$
circumcircle (radius)
$$ R = \frac{a}{2 \cdot\sin\frac{180^\circ}{n}} $$
incircle (radius)
$$ r = \frac{a}{2 \cdot\tan\frac{180^\circ}{n}} $$

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