\[\begin{aligned}
S_i &= (n-2)180^\circ \\
S_e &= 360^\circ
\end{aligned}\]
Variables
Sisum of interior angles (deg)
Sesum of exterior angles (deg)
nnumber of sides
Description
What is this formula?
This set of formulas calculates the sum of the interior and exterior angles of a polygon using the number of sides.
When to use it
Use these formulas in geometry, mathematics education, engineering, and drafting when analyzing polygonal shapes.
Example
For a polygon with 8 sides:
Interior angle sum:
Si = (8-2)*180 = 1080°
Exterior angle sum:
Se = 360°
Applications
- Polygon analysis
- Geometric construction
- CAD and technical drawing
- Educational mathematics
- Architectural design