Area of an ellipse, Mathematics

You know the experation 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-minor axis of length A and semi-major axis of length B? (These semi-major axes are half the lengths of, respectively, the smallest and largest diameters of the ellipse)

For example, the following is a standard formula 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!

84_ellipse.gif

Posted Date: 3/30/2013 3:11:01 AM | Location : United States







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