Issue 1 V1.07
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# Hollow Circle (Annulus) - Geometric PropertiesMore Shapes

Geometric Property Calculator
 Area, A: mm2 Perimeter (Outside), P: mm Perimeter (Inside), P: mm Centroid, Cx: mm Centroid, Cy: mm Second Moment of Area, Ix: mm4 Second Moment of Area, Iy: mm4 Second Moment of Area, Ix1: mm4 Second Moment of Area, Iy1: mm4 Polar Moment of Inertia, Jz: mm4 Polar Moment of Inertia, Jz1: mm4 Radius of Gyration, Kx: mm Radius of Gyration, Ky: mm Radius of Gyration, Kz: mm Radius of Gyration, Kx1: mm Radius of Gyration, Ky1: mm Radius of Gyration, Kz1: mm Plastic Section Modulus, S: mm3 Elastic Section Modulus, Z: mm3 Torsional Constant, J: mm4

The above hollow circle (annulus) 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

# 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, in2 or mm2
• C = Distance to Centroid, in or mm
• I = Second moment of area, in4 or mm4
• Ji = Polar Moment of Inertia, in4 or mm4
• J = Torsional Constant, in4 or mm4
• K = Radius of Gyration, in or mm
• P = Perimeter of shape, in or mm
• S = Plastic Section Modulus, in3 or mm3
• Z = Elastic Section Modulus, in3 or mm3

# Online Hollow Circle (Annulus) 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 Hollow Circle or Annulus
• Calculate the Perimeter of a Hollow Circle or Annulus
• Calculate the Centroid of a Hollow Circle or Annulus
• Calculate the Second Moment of Area (or moment of inertia) of a Hollow Circle or Annulus
• Calculate the Polar Moment of Inertia of a Hollow Circle or Annulus
• Calculate the Radius of Gyration of a Hollow Circle or Annulus
• Calculate the Elastic Section Modulus of a Hollow Circle or Annulus
• Calculate the Plastic Section Modulus of a Hollow Circle or Annulus