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







Related Discussions:- Area of an ellipse, Assignment Help, Ask Question on Area of an ellipse, Get Answer, Expert's Help, Area of an ellipse Discussions

Write discussion on Area of an ellipse
Your posts are moderated
Related Questions
Ellipsoid Now here is the general equation of an ellipsoid. X 2 / a 2 + y 2 /b 2 + z 2 /c 2 = 1 Here is a diagram of a typical ellipsoid. If a = b = c afterw


Find out the next number in the subsequent pattern. 320, 160, 80, 40, . . . Each number is divided by 2 to find out the next number; 40 ÷ 2 = 20. Twenty is the next number.

explain big 5 ppersonality model, suggest thier target market and one marketing strategiy for each .


Determine a particular solution for the subsequent differential equation. y′′ - 4 y′ -12 y = 3e5t + sin(2t) + te4t Solution This example is the purpose that we've been u


Find out the domain of each of the following.  (a) f (x,y) = √ (x+y) (b) f (x,y) = √x+√y  (c) f (x,y) = ln (9 - x 2 - 9y 2 ) Solution (a) In this example we know


It's easier to describe an explicit solution, in this case and then tell you what an implicit solution is not, and after that provide you an illustration to demonstrate you the dif