How Perimeter Calculator

Regular mode only; in coordinate mode the vertex count is used.
Coordinate mode: x values in order around the polygon.
Coordinate mode: matching y values, same order.
Area
2.598076
Polygon Calculator
Number of sides
6
Polygon name
hexagon
Perimeter
6
Side length
1
Apothem (inradius)
0.866025
Circumradius
1
Interior angle
120
Exterior angle
60
Sum of interior angles
720
Central angle per side
60
Number of diagonals
9
Centroid x
0
Centroid y
0
Vertex order
counter-clockwise
Worked out from Weisstein, Eric W. "Regular Polygon" and "Polygon Area", MathWorld and 2 other sources.

How this is worked out

6 steps
  1. Regular hexagon: n = 6, half the central angle is pi/n = 0.5235987755982988 rad.
  2. Side length s = 1 (derived from the given sideLength).
  3. Apothem a = s / (2 tan(pi/n)) = 0.8660254037844387; circumradius R = s / (2 sin(pi/n)) = 1.0000000000000002.
  4. Perimeter P = n*s = 6; area = (1/2) P a = 2.598076211353316.
  5. Interior angle = (n-2)*180/n = 119.99999999999999 degrees; exterior angle = 360/n = 60 degrees.
  6. Diagonals = n(n-3)/2 = 9.

Results are general information, not financial, tax, legal, medical or engineering advice.