Angle Sum of a Polygon
Calculator and formula for calculating angle sums of polygons
This calculator can be used to calculate the sum of the angles and the individual angles of a N-gon or regular polygon.
Enter the number of corners, then click the 'Calculate' button.
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Formulas for calculating the sum of angles
\(\displaystyle sum\; of\; angles= n · 180 − 360\)
\(\displaystyle single\; angle = 180 − \left(\frac{360}{n} \right)\)
\(n\) = number of corners
Example
As an example, the angles of a pentagon are calculated
\(\text{Sum} = 5· 180-360= 540\)
\(\displaystyle \text{Angle} = 180 − \left(\frac{360}{5} \right) = 108° \)
Angle functions
From Deg, Min, Sec to Decimal • From Degree to Percent • Angle sum • Side lengths from anglesCircular functions
Annulus • Annulus sector • Circle • Circular angles • Circular arcs • Circular sector • Circular segment • Ellipse • Parabolic arch • Squaring the Circle
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