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THE FEUTEX TOOLKIT

Ellipse Sector Area by Parameter

Measure an ellipse sector swept between two parametric angles.

Geometry workspace● Runs in your browser
01 Your input
02 Your result
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FormulaArea = a*b*(end-start)*PI/360; Fraction = (end-start)/360
Sources and model references

Made for real tasks

  • Measure an ellipse sector swept between two parametric angles.
Explore step-by-step workflows →

Worked example

Inputs

Semi-axis a
6 length
Semi-axis b
2 length
Start parameter
20 degrees
End parameter
100 degrees

Expected results

Area
8.37758041 length²
Fraction
0.2222222222 fraction

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter semi-axis a, semi-axis b, start parameter, end parameter.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "a": 6,
  "b": 2,
  "start": 20,
  "end": 100
}

Accuracy and scope

Uses eccentric/parametric angles, not polar angles from the center.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.