Math

Pentagon Calculator

Area and perimeter of a regular pentagon.

Calculated Output

Area 61.937

Perimeter 30

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

Step-by-Step Breakdown

1. Values used:

2. Side length = 6

4. Area = 61.937

5. Perimeter = 30

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The math behind it

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

Side 6 → area 61.9.

Regular only?

Yes — this assumes all sides and angles are equal.