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A regular polygon area calculator computes area, perimeter, and circumradius for any regular polygon (equal sides and angles) given the side length and number of sides.

공식

Area = (n × s²) / (4 × tan(π/n))

단계별 가이드

1Area = (n × s²) / (4 × tan(π/n))
2n = number of sides; s = side length
3Perimeter = n × s
4Circumradius R = s / (2 × sin(π/n))

풀어진 예시

입력

Regular pentagon (5 sides), side 4 cm

결과

Area = (5 × 16) / (4 × tan(36°)) = 80/2.906 = 27.53 cm²

자주 묻는 질문

What is Regular Polygon Area?

A regular polygon area calculator computes area, perimeter, and circumradius for any regular polygon (equal sides and angles) given the side length and number of sides. Use this calculator for accurate, instant results.

How accurate is the Regular Polygon Area calculator?

The calculator uses the standard published formula for regular polygon area. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Regular Polygon Area calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Regular Polygon Area calculator use?

The core formula is: Area = (n × s²) / (4 × tan(π/n)). Each step in the calculation is shown so you can verify the result manually.

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