In geometry, we will study about polygons. We have many kinds of polygons. Any geometry shape which is enclosed by its sides is called as polygon.  A regular Octagon is eight sided polygon. The regular Octagon has eight equal sides and eight equal internal angles and eight equal external angles.

• Internal angle of a regular Octagon is 135°.
• External angle of a regular Octagon is 45°.
• Sum of internal angles of regular Octagon is 1050°.
• Sum of external angles of regular Octagon is 360°.
Octagon Calculator is a mathematical tool which will help us to calculate the area and perimeter of any given regular octagon.

## Octagon Formula

The space inside octagon boundary is known as the area of an octagon. It is measured in square units. With known side length $a$ the area of an octagon can be calculated using the following formula

Area of a octagon = $2 a^{2}(1+\sqrt{2})$

Perimeter of the octagon is a path that surrounds the area. The perimeter of an octagon can be obtained by the formula

Perimeter = $8 \times a$

### Polygon Calculator

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