Calculations in a regular heptagon (7 vertices). Enter one value and choose the number of decimal places. Then click Calculate.
d = a / ( 2 * sin ( π/2 / 7 ) )
e = 2 * a * cos ( π / 7 )
h = a / ( 2 * tan ( π/2 / 7 ) )
p = 7 * a
A = 7/4 * a² / tan ( π / 7 )
rc = a / ( 2 * sin ( π / 7 ) )
ri = a / ( 2 * tan ( π / 7 ) )
Angle: 5/7*180° ≈ 128,57°
π = 180° = 3.141592653589793...
Edge length, diagonals, height, perimeter and radius have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).
Heights, bisecting lines and median lines coincide, these intersect at the centroid, which is also circumcircle and incircle center. To this point, the regular heptagon is rotationally symmetric at a rotation of 360/7° or multiples of this. Furthermore, the regular heptagon is axially symmetric to the median lines.