Area of Revolution Calculator

Formula

To calculate the Area of Revolution (AOR):

\[ AOR = \pi r^2 \times REV \]

Where:

\(AOR\) is the Area of Revolution (units²)
\(r\) is the Radius
\(REV\) is the Number of Revolutions

What is the Area of Revolution?

The area of revolution is the surface area generated by rotating a shape around an axis. This calculator helps determine the surface area based on the radius of the shape and the number of revolutions around the axis.

Example Calculation

Let's assume the following values:

Radius (\(r\)) = 3 units
Number of Revolutions (\(REV\)) = 5

Using the formula:

\[ AOR = \pi \times 3^2 \times 5 = \pi \times 9 \times 5 = 141.37 \text{ units²} \]

The Area of Revolution is 141.37 units².