Circle Quarter - Geometric Properties

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Geometric Properties of a Circle Quarter

Need an excel spreadsheet for designing the above shape, click here!

Notation and Units

Metric and Imperial Units

Page last modified on: 04/07/2024 05:36:03

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
  • K = Radius of Gyration, in or mm
  • P = Perimeter of shape, in or mm
  • Z = Elastic Section Modulus, in3 or mm3

Online Circle Quarter 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:

  • Area of a Circle Quarter
  • Perimeter of a Circle Quarter
  • Centroid of a Circle Quarter
  • Second Moment of Area (or moment of inertia) of a Circle Quarter
  • Polar Moment of Inertia of a Circle Quarter
  • Radius of Gyration of a Circle Quarter
  • Elastic Section Modulus of a Circle Quarter
  • Plastic Section Modulus of a Circle Quarter