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Math Help - area of ellipse

  1. #1
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    area of ellipse


    I would like to know how to calculate the area of ellipse and its total length from the given data..
    Rx-x radius
    Ry-y radius
    start angle
    end angle
    Center of Ellipse (x,y)

    can anyone help me pleezzz.........
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  2. #2
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    Quote Originally Posted by rameshadoor View Post

    I would like to know how to calculate the area of ellipse and its total length from the given data..
    Rx-x radius
    Ry-y radius
    start angle
    end angle
    Center of Ellipse (x,y)

    can anyone help me pleezzz.........
    The area of the ellipse is simply pi times the multiplication of the two axes:

    Area = pi*(Rx-x)*(Ry-y).

    I don't know what you mean by start or end angle and total length of ellipse, but I am assuming you are referring to the angle t formed the by the line from the center to the circumference. Then the perimeter of the ellipse is:

    4*(Rx-x)*INTEGRAL_{0 to pi/2}[sqrt(1-((Rx-x)^2-(Ry-y)^2)/(Rx-x)^2 * sin(t)) * dt].
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  3. #3
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    Area and perimeter of elliptical arc

    I had get this reading from an autoCAD image (civil Plan)

    Center of Ellipse: X , Y
    Start Angle: sa
    End Angle: ea
    Rx: rx
    Ry: ry


    these are the parameter which i have. Could any one help me to find the area and perimeter.This to apply in software program
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