Pentagon Calculator

Area and perimeter of a regular pentagon.

Area 61.937
Perimeter 30

Formula: area = (1/4)√(5(5+2√5)) × side²

Step-by-step with your numbers:
1. Values used:
2. Side length = 6
3.
4. Area = 61.937
5. Perimeter = 30
Did we solve your problem today?

Regular five-sided polygon measurements.

The math behind it

area = ¼ × √(5(5 + 2√5)) × side² ≈ 1.7205 × side². Perimeter = 5 × side.

Worked example

Side 6 → area 61.9.

FAQ

Regular only?

Yes — this assumes all sides and angles are equal.