About the Hexagon

A hexagon is a six-sided polygon with equal sides and angles in a regular hexagon. It has several important measurements that define its geometry.

Measurements

• Side (a): The length of one side of the hexagon.
• Long Diagonal (d): The distance between two opposite vertices, equal to 2 times the side.
• Short Diagonal (s): The distance between two non-adjacent vertices, equal to √3 times the side.
• Circumcircle Radius (R): The radius of the circle that passes through all the vertices of the hexagon, equal to the side length.
• Apothem (r): The perpendicular distance from the center to one side, equal to (√3/2) * a.
• Area: The total surface area of the hexagon, calculated as (3√3/2) * a².
• Perimeter: The total length of all six sides, equal to 6 times the side length.

Formulas Used

When the side length (a) is given, the other measurements can be calculated as follows:

• Long Diagonal (d) = 2 x a
• Short Diagonal (s) = √3 x a
• Circumcircle Radius (R) = a
• Apothem (r) = (√3/2) x a
• Area = (3√3/2) x a²
• Perimeter = 6 x a