Polygon  Geometric Properties
Geometric Property Calculator  



The above polygon property calculator is based on the provided equations and does not account for all mathematical limitations. The calculator has been provided with educational purposes in mind and should be used accordingly. Unit conversion
Need an spreadsheet for designing the above shape, click here!
Notation and Units
Metric and Imperial Units
The above formulas may be used with both imperial and metric units. As with all calculations care must be taken to keep consistent units throughout. Examples of units which are typically adopted are outlined below:
Notation
 A = Geometric Area, in^{2} or mm^{2}
 a = Length of flat section, in or mm
 C = Distance to Centroid, in or mm
 I = Second moment of area, in^{4} or mm^{4}
 J_{i} = Polar Moment of Inertia, in^{4} or mm^{4}
 K = Radius of Gyration, in or mm
 n = Number of flat sides
 P = Perimeter of shape, in or mm
 r = Outer radius of shape, in or mm
 r_{1} = radius to flat of shape, in or mm
 Z = Elastic Section Modulus, in^{3} or mm^{3}
Online Polygon Property Calculator
Using the structural engineering calculator located at the top of the page (simply click on the the "show/hide calculator" button) the following properties can be calculated:
 Calculate the Area of a Polygon
 Calculate the Perimeter of a Polygon
 Calculate the Centroid of a Polygon
 Calculate the Second Moment of Area (or moment of inertia) of a Polygon
 Calculate the Polar Moment of Inertia of a Polygon
 Calculate the Radius of Gyration of a Polygon
 Calculate the Elastic Section Modulus of a Polygon
 Calculate the Plastic Section Modulus of a Polygon