The Circle with the Same Area of a Ellipse calculator computes the equivalent radius of a circle whose area is the same as the ellipse specified by its major and minor axes.
INSTRUCTIONS: Choose units and enter the following:
Radius of Circle (r): The calculator returns the radius in meters. However this can be automatically converted to compatible units via the pull-down menu.
The formula for the circumference of a circle is:
a = π• r2
The area of an ellipse is:
a = π•a•b
Therefore, the formula for the radius of a circle with equal perimeter of an ellipse is:
`r = sqrt(a*b)`
where: