Calculate ellipse area from semi-major and semi-minor axes or full axes. Reverse the formula to find a missing axis from area.
The area of an ellipse is the space inside the oval shape. Use this calculator to find ellipse area from the semi-major and semi-minor axes, or switch to full axes if you know the complete major and minor widths.
The standard ellipse area formula is A = piab for semi-axes. If you use the full major axis and full minor axis instead, the equivalent form is A = piAB / 4.
A = piab
A = piAB / 4
$$A= \pi \times a \times b$$
pi
1/2 pi
1 1/2pi
2pi
The formula for the area of an ellipse is A = piab, where a is the semi-major axis and b is the semi-minor axis.
Measure the semi-major axis and semi-minor axis, then multiply a x b x pi. The calculator does this instantly when you enter the two axis values.
a x b x pi
Yes. Switch to full axes mode and use the equivalent formula A = piAB / 4, where A and B are the full major and minor axis lengths.
The major axis is the full longest width of the ellipse. The semi-major axis is half of that length, measured from the centre to the edge.
The minor axis is the full shortest width of the ellipse. The semi-minor axis is half of that length, measured from the centre to the edge.
Yes. If you know the area and one axis value, the calculator can reverse the ellipse area formula to find the missing axis.
If a = 10 cm and b = 6 cm, the area is about 188.496 cm^2. The exact form is 60pi cm^2.
a = 10 cm
b = 6 cm
188.496 cm^2
60pi cm^2
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