Heptagon

Written by Jerry Ratzlaff. Posted in Plane Geometry

  • heptagon 2heptagonAll edges are the same length
  • Interior angles are 128.571°
  • Exterior angles are 51.429°
  • 14 diagonals
  • 7 edges
  • 7 vertexs

Edge formula

\(a = \frac {p}{7}   \)

Where:

\(a\) = edge

\(p\) = perimeter

Perimeter formula

\(p= 7a \)

Where:

\(p\) = perimeter

\(a\) = edge

Area formula

\(A = \frac {7} {4} a^2 \cot \left( \frac {180°} {7} \right)   \)

Where:

\(A\) = area

\(a\) = edge

\(\cot\) = cotangent