Issue 1 V1.07
Free

# Rotated Rectangle - Geometric PropertiesMore Shapes

Geometric Property Calculator
 Side, a:Side, b:Angle, Φ: mmmmdegrees
 Area, A: mm2 Perimeter, P: mm Centroid, Cx: mm Centroid, Cy: mm Second Moment of Area, Ix: mm4 Polar Moment of Inertia, Jz: mm4 Radius of Gyration, Kx: mm Elastic Section Modulus, Zx: mm3

The above rotated rectangle 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
• a = Length of shape, in or mm
• b = Width of shape, in or mm
• 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
• ø = Angle of rotation of rectangle, radians

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