Polygon Calculator

Your details

Whole number of sides (3 = triangle, 4 = square, 5 = pentagon, and so on up to 100).
Select which dimension you already know. All other outputs are derived from it.
The length of one side of the regular polygon.
m
Area
64.9519

Total enclosed area of the polygon

Perimeter30m
Side length (a)5m
Inradius / apothem (r)4.3301m
Circumradius (R)5m
Interior angle120deg
Exterior angle60deg
Number of diagonals9
Incircle area58.9049
Circumcircle area78.5398
Polygon nameHexagon

Hexagon with area 64.9519 (length units squared)

  • Each interior angle is 120 deg, and all interior angles together sum to 720 deg.
  • A Hexagon has 9 diagonals, computed as n(n-3)/2.
  • The circumradius is 1.1547 times the inradius. As n grows larger, this ratio approaches 1 and the polygon approaches a circle.

Next stepAll outputs assume a regular (equilateral and equiangular) polygon. For irregular polygons, use the Shoelace formula with known vertex coordinates.

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