Ellipse Area Calculator

Calculate the area of an ellipse from semi-major and semi-minor axes, full width and height, or known area. Estimate square feet, square inches, square yards, square meters, circumference, waste, material quantity, and project cost.

Calculate Ellipse Area

Ellipse Area = π × Semi-Major Axis × Semi-Minor Axis. Full Width and Height are twice the semi-axes.
Your result will appear here.

How the ellipse area calculator works

Semi-axes mode:
The calculator multiplies the semi-major axis by the semi-minor axis, then multiplies by pi.

Full width and height mode:
The calculator divides the full width and full height by 2 to get the semi-axes, then calculates area.

Diameter mode:
The calculator treats the major and minor diameters as the full outside measurements of the ellipse.

Known area mode:
The calculator converts a known area and estimates the semi-axes using your axis ratio.

Why use an ellipse area calculator?

An ellipse area calculator helps estimate oval spaces for patios, pools, garden beds, lawns, concrete pads, landscape beds, design patterns, and construction planning.

It can help calculate square footage, compare area units, estimate material quantity, add extra waste, and estimate project cost.

What your result means

Your result shows the ellipse area, semi-major axis, semi-minor axis, full major diameter, full minor diameter, circumference estimate, area with extra waste, estimated pieces or units needed, and estimated cost.

Ellipse area formulas

Frequently asked questions

How do I calculate the area of an ellipse?

Multiply the semi-major axis by the semi-minor axis, then multiply by pi. The formula is Area = π × a × b.

What is the semi-major axis?

The semi-major axis is half of the longest width of the ellipse.

What is the semi-minor axis?

The semi-minor axis is half of the shortest width of the ellipse.

How do I calculate ellipse area from full width and height?

Divide the full width by 2 and the full height by 2. Then multiply those two semi-axis values by pi.

Should I add waste for oval-shaped materials?

Yes. Oval layouts often create cuts and offcuts. For pavers, sod, landscaping fabric, tile, concrete, mulch fabric, or flooring, adding 5% to 15% extra is commonly helpful.