CALCULATOR
Ellipse Area Calculator
Find ellipse area from two semi-axis lengths. Example: Semi-axis a: 2 m, Semi-axis b: 2 m gives 12.5663706144 m². a and b are semi-axes, not full widths; any positive order works. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.
a and b are semi-axes, not full widths; any positive order works. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Scale unit disk by a and b; determinant ab scales area.
Accepted inputs: Semi-axis a: 0.001 to 1,000 m; Semi-axis b: 0.001 to 1,000 m.
How the calculation works
A = πab
Worked example
With semi-axis a 2 m, semi-axis b 2 m, ellipse area from two semi-axis lengths is 12.56637061 m².
Assumptions and limits
a and b are semi-axes, not full widths; any positive order works. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Scale unit disk by a and b; determinant ab scales area.