Mathematics

Regular Polygon Calculator

Calculate area, perimeter, inradius and circumradius of a regular polygon.

01Input and settings

The calculation runs in your browser. You can use the tool without installing software.

02Result

Waiting for input
Waiting for input

Enter your values or load the example to see the result here.

About this tool: Regular Polygon Calculator

Calculate area, perimeter, inradius and circumradius of a regular polygon.

All sides and interior angles of a regular polygon are equal. Enter its side count and one side length to obtain perimeter, area and both circle radii. The apothem is the distance from the center to a side; it is also the inradius.

How the calculation works

P = n a; r = a / (2 tan(π/n)); S = P r / 2

Worked example

Number of sides
6
Side length
2
P = 12; S ≈ 10.3923048454

Questions and answers

What does this tool do?

Calculate area, perimeter, inradius and circumradius of a regular polygon. All sides and interior angles of a regular polygon are equal. Enter its side count and one side length to obtain perimeter, area and both circle radii. The apothem is the distance from the center to a side; it is also the inradius.

What affects precision and input format?

Floating-point results are rounded for display. Keep the units shown in the input labels; decimal points and decimal commas are accepted.

Where are the calculations performed?

The calculation runs in your browser. You can use the tool without installing software.

Comments (0)

Share your thoughts — please be polite and stay on topic.

No comments yet. Leave a comment — share your opinion!

To leave a comment, please log in.

Log in to comment