Ellipse Area
Calculate the area of an ellipse using the formula A = pi x a x b where a and b are the semi-major and semi-minor axes. Free online ellipse area calculator for students, engineers, and geometry professionals.
About This Calculator
The Ellipse Area Calculator computes the area of an ellipse using the formula A = pi x a x b, where a is the semi-major axis (longest radius) and b is the semi-minor axis (shortest radius). This formula is a direct generalization of the circle area formula pir^2.
For example, an ellipse with semi-major axis a = 8 and semi-minor axis b = 5 has area A = pi x 8 x 5 ≈ 125.66 square units. This calculator is useful for geometry students, architects designing elliptical structures, engineers working with elliptical components, and anyone needing quick ellipse area calculations.
Frequently Asked Questions
What is the formula for ellipse area?
The area of an ellipse is A = pi x a x b where a is the semi-major axis and b is the semi-minor axis. For a circle, a = b = r, so the formula simplifies to pir^2.
How is ellipse area different from circle area?
A circle has equal radii so area = pir^2, while an ellipse has two different radii (a and b). The ellipse area formula A = piab generalizes the circle formula -- when a = b, they are identical.
What units should I use for ellipse area?
Use consistent units for both axes. If a and b are in centimeters, area is in square centimeters. The calculator works with any units as long as they match.
Is this ellipse area calculator free?
Yes, all calculators on Calculy are completely free to use with no registration required.