Wikipedia
area of ellipse formula : The area enclosed by an ellipse is ab, where (as before) a and b are .... of this formula is the semi-latus rectum of the ellipse, usually denoted l. ..... More from Wikipedia
What is the center of the ellipse shown?
What is the center of the ellipse shown? => (0, 0) or (0, 1) or (0, 3) or (- 3, 0)..
Which of the following could be the eccentricity of an ellipse?
Which of the following could be the eccentricity of an ellipse? => 5 3 or 3 2 or 3 5 or 1..
Conic Sections: Graphing Ellipses Part 1. In this video, I give the basic definition, one standard formula, and graph two ellipses given the equation. In part 2, I graph two harder examples.
Learn how to form the general form of the equation of an ellipse by completing squares.
Question : Is there a formula for finding the area of an ellipse? Is there even an established formula? It seems you could use the mean radius in the circle equations of area and circumference to approximate the area. (r+R)/2 where r and R are the two different radii.
Is there a better way to get a more precise answer other then this approximation? Or is this really the way to do it?
Answer : There is. I dont know what it is... yet. I will get back to you. If I cant find it online, I will derive it myself. Basic integral calculus will figure it out. ==== Okay... here is what I came up with by integral calculus. If you write your ellipse in the form: ax + by = r (slightly modified from the equation of a circle to stretch/compress the axes.) Then the area is calculated: A = r [a b] - notice that if a = b = 1, then the equation (x, y) for a circle and the area is that for a circle === Likewise, if you wrote your ellipse in the form: x a + y b = r Then the area is simplified into: A = r [a b] And, another common way of writing the ellipse: x a + y b = r .... or (x a) + (y b) = r Then the area formula becomes: A = r a b === I dont know where Ask If (the guy below me) came up with A = a b... I keep finding this formula online, too. But its not accurat.... More from Yahoo Answers
Answer : There is. I dont know what it is... yet. I will get back to you. If I cant find it online, I will derive it myself. Basic integral calculus will figure it out. ==== Okay... here is what I came up with by integral calculus. If you write your ellipse in the form: ax + by = r (slightly modified from the equation of a circle to stretch/compress the axes.) Then the area is calculated: A = r [a b] - notice that if a = b = 1, then the equation (x, y) for a circle and the area is that for a circle === Likewise, if you wrote your ellipse in the form: x a + y b = r Then the area is simplified into: A = r [a b] And, another common way of writing the ellipse: x a + y b = r .... or (x a) + (y b) = r Then the area formula becomes: A = r a b === I dont know where Ask If (the guy below me) came up with A = a b... I keep finding this formula online, too. But its not accurat.... More from Yahoo Answers
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