# Math Help - area of ellipse

1. ## 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.........

2. Originally Posted by rameshadoor

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].

3. ## 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