How it works
For a regular n-sided polygon, apothem = side / (2 tan(π/n)), perimeter = n × side, and area = perimeter × apothem / 2.
Input definitions
- Number of sides
- Enter the value in the labeled unit.
- Side length
- Enter the value in the labeled unit.
A worked example
- Number of sides
- 6
- Side length
- 2
Assumptions & limits
Use consistent stated units. Ideal geometric or physical model; verify dimensions and applicability before real-world design.
Sources & review
Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.
Method updated 2026-10-17. Content checked against the stated method and examples. Our verification approach.
Common questions
Does this formula work for unequal sides?
No. The polygon must be regular: equal sides and equal interior angles. Use ordered coordinates for an irregular boundary.
How does Regular polygon dimensions work?
For a regular n-sided polygon, apothem = side / (2 tan(π/n)), perimeter = n × side, and area = perimeter × apothem / 2.
What are the limits of Regular polygon dimensions?
Use consistent stated units. Ideal geometric or physical model; verify dimensions and applicability before real-world design.