Unlock the properties of any regular polygon using its incircle radius (apothem) and number of sides. Our Regular Incircle Polygon Calculator swiftly computes side length, perimeter, and area, simplifying complex geometry problems instantly. Perfect for students and professionals alike, this tool provides accurate geometric insights.
Formula:
To calculate the properties of a regular polygon given its incircle radius r (also known as the apothem) and the number of sides n, we use the following formulas:
- Side Length (s):
s = 2 * r * tan(π/n) - Perimeter (P):
P = n * s - Area (A):
A = n * r2 * tan(π/n) - Central Angle (θ):
θ = 360° / n
Where:
ris the incircle radius (apothem)nis the number of sidesπis Pi (approximately 3.14159)tanis the tangent function