Geometry · interactive lab
Regular polygon explorer
Explore the interior angles, diagonals, perimeter, and area of regular polygons.
Regular polygon explorerLIVE EXPLORATION
Change a value to see the connection
Your measurements
A regular polygon has equal sides and equal interior angles. The diagram uses a normalized scale.
Why it works
Interior angle = (n − 2) × 180° / n
A little question. A clearer picture.
Regular polygon explorer: common questions
Wondering about the why? Start here.
What makes a polygon regular?
A regular polygon has equal side lengths and equal interior angles. This explorer uses that assumption for its diagram, individual angles, apothem, and area. Equal side lengths alone do not make every polygon regular.
Learn about polygon anglesHow do I calculate a regular polygon’s interior angle?
For n sides, each interior angle is (n − 2) × 180° / n. A regular hexagon has six sides, so each angle is 120°. The interior-angle sum of any simple polygon with n sides is (n − 2) × 180°.
Work through the angle formula