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Ako vypočítať Regular Polygon Area

Čo je 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.

Vzorec

Area = (n × s²) / (4 × tan(π/n))

Sprievodca krok za krokom

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

Worked Examples

Vstup
Regular pentagon (5 sides), side 4 cm
Výsledok
Area = (5 × 16) / (4 × tan(36°)) = 80/2.906 = 27.53 cm²

Frequently Asked Questions

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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