Area of a Regular Polygon Calculator

Your details

A regular polygon has at least 3 sides. Enter any whole number from 3 to 1000.
Choose which measurement you already know. All methods produce the same area for the same polygon.
The length of one side of the polygon.
All length inputs and outputs use the same unit.
Area
259.8076m²

Total enclosed area of the polygon

Perimeter60m
Side length (a)10m
Apothem (r)8.6603m
Circumradius (R)10m
Interior angle120deg
Exterior angle60deg
Incircle area235.6194m²
Circumcircle area314.1593m²
Polygon nameHexagon

Area of the regular hexagon: 259.8076 m²

  • Each interior angle of a regular hexagon is 120.00 degrees; the 6 angles together sum to 720 degrees.
  • The apothem is 8.6603 m and the circumradius is 10.0000 m. The apothem is always shorter because it reaches a side midpoint, not a vertex.
  • The inscribed circle covers 75.0% of the circumscribed circle's area (235.6194 vs 314.1593 m²). As n increases, this ratio approaches 100%.

Next stepA regular hexagon is one of the classic geometric shapes. Try increasing the number of sides to see how the polygon approximates a circle.

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