» Area of an Ellipse Calculator


Area of an Ellipse Calculator: calculate ellipse area from semi-axes or full axes, and reverse the ellipse area formula to find a missing axis from the 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.


Area of an ellipse formula

$$A= \pi \times a \times b$$


Tip: Enter a value as a number, fraction, or pi expression such as pi, 1/2 pi, 1 1/2pi, or 2pi.



Area Calculator FAQ

What is the formula for the area of an ellipse?
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.

How do I calculate the area of an ellipse?
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.

Can I use the full major and minor axes instead of semi-axes?
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.

What is the difference between the major axis and the semi-major axis?
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.

What is the difference between the minor axis and the semi-minor axis?
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.

Can I find one ellipse axis from the area and the other axis?
Yes. If you know the area and one axis value, the calculator can reverse the ellipse area formula to find the missing axis.

Example: what is the area of an ellipse with semi-major axis 10 cm and semi-minor axis 6 cm?
If a = 10 cm and b = 6 cm, the area is about 188.496 cm^2. The exact form is 60pi cm^2.


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