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THE FEUTEX TOOLKIT

Circular Segment Profile

Find a circular segment’s area, chord width and central angle from its radius and height.

Geometry workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaArea = r**2*acos((r-h)/r)-(r-h)*sqrt(2*r*h-h**2); Chord = 2*sqrt(2*r*h-h**2); Angle = 2*acos((r-h)/r)
Sources and model references

Worked example

Inputs

Radius
5 length
Segment height
1 length

Expected results

Area
4.08752772 length²
Chord
6 length
Angle
1.287002218 rad

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 the labeled inputs using consistent units.
  2. Check the stated assumptions and calculate.
  3. Review each output and compare another input scenario.

Try this example

{
  "r": 5,
  "h": 1
}

Accuracy and scope

Finite floating-point arithmetic; results can lose precision near singular or extreme inputs.

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.