How to Calculate Geometry Extra
What is Geometry Extra?
Extended geometry tools calculate properties of regular polygons, including area, perimeter, circumradius, and apothem for any number of sides.
Formula
Step-by-Step Guide
- 1Regular polygon area = (n × s²) / (4 × tan(π/n))
- 2Circumradius R = s / (2 × sin(π/n))
- 3Apothem a = s / (2 × tan(π/n))
- 4Interior angle = (n−2) × 180 / n degrees
Worked Examples
Frequently Asked Questions
What is Geometry Extra?
Extended geometry tools calculate properties of regular polygons, including area, perimeter, circumradius, and apothem for any number of sides. Use this calculator for accurate, instant results.
How accurate is the Geometry Extra calculator?
The calculator uses the standard published formula for geometry extra. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.
What units does the Geometry Extra calculator use?
This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.
What formula does the Geometry Extra calculator use?
The core formula is: Regular polygon area = (n × s²) / (4 × tan(π/n)). Each step in the calculation is shown so you can verify the result manually.