Area of an elliptical sector Calculator

Area of an elliptical sector

[1-4] /4

Disp-Num

Purpose of use: Calculation of ellipse segment after removal of triangle. Used for calculation of Hertzian contact pressure after removal of a segment.

Purpose of use: To help me calculate the Hydraulic radius for Elliptical pipes when not in full flow.
Comment/Request: Still getting my head round the arguments put forward, In order to make better use of them at the moment

Bug report: Hi there,

When I compare the results of these formula to another derivation (http://math.stackexchange.com/questions/114371/deriving-the-area-of-a-sector-of-an-ellipse) I find that inputs of
angle theta0 = -0.6 (rad)
angle theta1 = 0.8
semimajor axis a = 1100
semiminor axis b = 979

give different results. Your calculator returns 814,874.12267598 and the formula (a*b/2)(atan((a/b)*tan(theta1))-atan((a/b)*tan(theta0))) returns 753830.0.

Which one is wrong? Is it possible for you to post a derivation of your formulas?
from Keisan: Please refer to "The Area of Intersecting Ellipses (David Eberly)" on Related links.

Purpose of use: I'm trying to calculate how much of the area of an ellipse I will block if I install a deflector plate across part of the opening. In addition to the information you provide, I need to know the chord length across L. I was looking for website that would do it, but it looks like I will have to do some real math myself.

Thank you for your questionnaire.

Sending completion

To improve this 'Area of an elliptical sector Calculator', please fill in questionnaire.

The hyperlink to [Area of an elliptical sector]: <a href="https://keisan.casio.com/exec/system/1343722259">Area of an elliptical sector Calculator</a>

Calculates the area and arc of an elliptical sector given two axes and two angles.