Regular Polygon Area Calculator
Work out the area, perimeter and interior angle of any regular polygon from its number of sides and side length. Enter number of sides and side…
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Work out the area, perimeter and interior angle of any regular polygon from its number of sides and side length. Enter number of sides and side length to see area, perimeter and interior angle when you calculate.
Worked example
Example calculated from the starting values. Enter your own values and press Calculate to get your result.
With the default inputs (number of sides = 6, side length = 5), the results are: area 64.952; perimeter 30.000; interior angle 120.0 °.
Quick reference: number of sides vs result
Reference table based on the example values; it is not your calculation result.
| Number of sides | Area | Perimeter | Interior angle |
|---|---|---|---|
| 3 | 10.825 | 15.000 | 60.0 ° |
| 6 | 64.952 | 30.000 | 120.0 ° |
| 12 | 279.904 | 60.000 | 150.0 ° |
| 30 | 1,783.943 | 150.000 | 168.0 ° |
| 60 | 7,155.426 | 300.000 | 174.0 ° |
| 120 | 28,641.344 | 600.000 | 177.0 ° |
Frequently asked questions
What formula does this calculator use?
Area = n × s^2 ÷ (4 × tan(pi ÷ n)); Perimeter = n × s; Interior angle = (n-2) × 180 ÷ n. Variables: n = number of sides, s = side length.
What do I need to enter?
You need number of sides, side length. Results update as you type.
What is an example result?
With the default inputs (number of sides = 6, side length = 5), the results are: area 64.952; perimeter 30.000; interior angle 120.0 °.
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