Nirmion
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GEOMETRY / EQUAL SIDES

Regular Polygon Calculator

Calculate area, perimeter, apothem, and interior angle for a regular polygon with 3 to 1,000 equal sides.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

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Calculation path

Equal central sectors derive the apothem; one half of perimeter times apothem gives the total polygon area.

Calculation path

Apothem = side / (2 tan(pi/n)); area = perimeter x apothem / 2.

What you provide

What you provide

  • Number of sides: Whole-number side count from 3 through 1,000.
  • Equal side length: Length shared by every polygon edge.

What you receive

What you receive

  • Regular polygon area
  • Perimeter and apothem
  • Interior angle for each vertex

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

All sides and angles are assumed equal; irregular polygons require coordinate or triangulation methods.

This is an educational planning result, not a structural, electrical, thermal, solar, battery, generator, or safety design. Confirm specifications, units, codes, and professional requirements before acting.