Hexagon Calculator
Calculate the area, perimeter, apothem, and diagonal of a regular hexagon from the side length. Includes inradius, circumradius, inscribed and circumscribed circle areas.
Area
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Perimeter —
Apothem (inradius) —
Long Diagonal —
Extended More scenarios, charts & detailed breakdown ▾
Area
—
Perimeter —
Apothem —
Long Diagonal —
Professional Full parameters & maximum detail ▾
Radii & Angles
Inradius (apothem) —
Circumradius —
Interior Angle —
Diagonals & Circles
Number of Diagonals —
Inscribed Circle Area —
Circumscribed Circle Area —
How to Use This Calculator
- Enter the Side Length of the regular hexagon.
- Results for area, perimeter, apothem, and diagonal appear instantly.
- Use From Area tab to find side from a known area.
- Use From Apothem tab to find side from the apothem.
- The Professional tab adds inradius, circumradius, and circle areas.
Formula
Area = (3√3/2)s² | Perimeter = 6s | Apothem = s√3/2 | Long Diagonal = 2s
Example
Side = 6: Area = (3√3/2) × 36 ≈ 93.53 units², Perimeter = 36 units, Apothem ≈ 5.196 units.
Frequently Asked Questions
- The area of a regular hexagon with side s is (3√3/2) × s². For example, a hexagon with side 5 has area = (3√3/2) × 25 ≈ 64.95 square units.
- The apothem is the perpendicular distance from the center to a side (the inradius). For a regular hexagon with side s, apothem = s√3/2.
- A regular hexagon has 9 diagonals: 6 short diagonals (length s√3) and 3 long diagonals (diameter = 2s). The long diagonal passes through the center.
- Each interior angle of a regular hexagon is 120°. The sum of all interior angles is (6−2) × 180° = 720°.
- The inradius (apothem) is the radius of the inscribed circle touching each side. The circumradius equals the side length s and is the radius of the circumscribed circle through each vertex.