How to calculate the moment of inertia of a circle

The moment of inertia of a circle is a measure of its resistance to rotational motion about a specific axis. For a circle with mass distributed uniformly, the moment of inertia can be calculated using the following formula:

I = 1/2 m × r^2

Where: I = Moment of inertia

m = Mass of the circle

r = Radius of the circle

It's important to note that this formula assumes that the entire mass of the circle is concentrated at the circumference (i.e., a thin circular ring). If the circle has a different distribution of mass, you would need to use integration to calculate the moment of inertia. For simple uniform circles, the above formula will suffice.

You can either calculate moment of inertia of a circle yourself or try using our free second moment of area calculator.

This calculator can also be used to calculate the moment of inertia for a circular section by subtracting the hollow moment of intertia from the overall moment of inertia.