Heptagon

Written by Jerry Ratzlaff on . 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

Area of a Heptagon formula

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

Where:

\(\large{ A }\) = area

\(\large{ a }\) = edge

\(\large{ \cot }\) = cotangent

Edge of a Heptagon formula

\(\large{ a = \frac {p}{7}   }\)

Where:

\(\large{ a }\) = edge

\(\large{ p }\) = perimeter

Perimeter of a Heptagon formula

\(\large{ p= 7\;a }\)

Where:

\(\large{ p }\) = perimeter

\(\large{ a }\) = edge