Polygon Calculator
Interior angles, area and perimeter of any regular polygon.
Area
259.807621cm²
Hexagon
Perimeter
60cm
Interior angle
120°
Exterior angle
60°
Sum of angles
720°
Apothem
8.660254cm
Circumradius
10cm
ShowHide the working
- 1Interior angle = (6 − 2) × 180 ÷ 6 = 120°
- 2Apothem = s ÷ (2 tan(π/6)) = 8.660254
- 3Area = ½ × perimeter × apothem = 259.807621
Formula
A = ½ × perimeter × apothemHow it works
Area, angles and radii of any regular polygon (all sides and angles equal).
Example
A hexagon with 10-unit sides has an area of 259.81 and interior angles of 120°.
About the Polygon Calculator
Interior angles, area and perimeter of any regular polygon. It sits in the Geometry section of NWS Calc, a free collection of calculators that run entirely in your browser. There is no signup, no paywall and no tracking — open the page, enter your numbers, get an answer.
Frequently asked questions
- Is the Polygon Calculator free to use?
- Yes. Every calculator on NWS Calc is completely free, with no signup, no usage limits and no ads.
- Does my data leave my device?
- No. The Polygon Calculator runs entirely in your browser using JavaScript. Nothing you type is uploaded, logged or stored on a server.
- Can I use the Polygon Calculator on my phone?
- Yes. The page is fully responsive and works in any modern mobile or desktop browser — there is nothing to install.
- What else is in Geometry?
- Area, perimeter, volume and surface area for every common shape. You can browse the full Geometry category for related calculators.