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What is the formula of finding the area of an ellipse?

Updated: 8/20/2019
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11y ago

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You know the formula for the area of a circle of radius R. It is Pi*R2.

But what about the formula for the area of an ellipse of semi-major axis of length A and semi-minor axis of length B? (These semi-major axes are half the lengths of, respectively, the largest and smallest diameters of the ellipse--- see Figure 1.)

For example, the following is a standard equation for such an ellipse centered at the origin:

(x2/A2) + (y2/B2) = 1.

The area of such an ellipse is

Area = Pi * A * B ,

a very natural generalization of the formula for a circle!

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Q: What is the formula of finding the area of an ellipse?
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