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:
- (a) Semi-major axis
- (b) Semi-minor axis
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.
Related Equations
- Area of an Ellipse
- Circle with the Same Areas as an Ellipse
- Circle with the Same Perimeter as an Ellipse
The Math / Science
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=√a⋅b
where:
- r = radius of the circle
- a = semi-major axis of an ellipse
- b = semi-minor axis of an ellipse.
