In geometry, any polygon with seven sides and seven angles and seven vertices is called as Heptagon. The sum of angles in a Heptagon is 900°.

In real life, Heptagon shape can be seen in British fifty pence coin which is an equilaterally curved heptagon. The dome in the former Melbourne Magistrates Court in Melbourne, Australia, is a good architectural example for a regular heptagon.
A simple tablet organizer is also a good example for regular Heptagon.

## Regular Heptagon

A Heptagon having all sides of equal length and equal angles is called regular Heptagon.

The figure above shows a regular Heptagon. Each of its internal angles is equal to 128.571° (The formula to find an interior angle of an n-sided polygon is given by $\frac{(n-2)\pi}{n}$). In a polygon, the central angle is the angle made at the centre of the polygon by any two adjacent vertices and is given by the formula $\frac{360^o}{n}$. Thus the central angle measure of a regular Heptagon is 51.429°.
The number of distinct diagonals that are possible to draw from all vertices in a polygon is given in general by the formula $\frac{n(n–3)}{2}$. Thus the number of diagonals that can be drawn in a heptagon are 14.

The number of triangles that can be drawn by drawing the diagonals from a given vertex in general is given by n–2 and so we can draw 5 triangles in a regular Heptagon.

### Octagon

 A Polygon A Concave Polygon is A Convex Polygon A Regular Polygon All Types of Polygons Area of any Polygon Congruent Polygon Frequency Polygon Pentagon Polygons Similar Polygon What is a Irregular Polygon The Octagon
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