MATHEMATICS

Calculator for Regular Polygon Area

Alternative name: Symmetrical polygon area calculator

This calculator will help you find the area of a polygon. The formula used in this calculator is listed below.

To use this calculator, you will need to know the edge length and number of sides in polygon.

polygon

Results

Area = 769.421

You might also be interested in calculating the Regular Polygon perimeter

Polygon Area Formula

Formula variable explanation:

  • P represents the area.
  • a represents the Edge length.
  • np represents the Number of sides in polygon.

LaTeX formula

If you are working in a TeX based editor you could use this TeX formula to calculate the polygon area.

P=\frac{{ a}^{2}\cdot np}{4\cdot\tan\left(\frac{\pi}{ np}\right)}

How To Calculate The Polygon Area Your Self

Calculating the area is rather simple when you know the formula presented above. Follow these steps:

  1. Write down this formula:

  2. Then change the following variables with your values:
    1. a shall be changed with the Edge length of your polygon. As an example a could be changed to 10.
    2. np shall be changed with the Number of sides in polygon of your polygon. As an example np could be changed to 10.
  3. Now you can enter this in to your calculator and you will get your answer.