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THE FEUTEX TOOLKIT

Stadium Shape Area and Boundary

Calculate a capsule-shaped outline formed by a rectangle and two semicircular ends.

Geometry workspace● Runs in your browser
01 Your input
02 Your result
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FormulaArea = 2*r*l+PI*r**2; Perimeter = 2*l+2*PI*r; Overall Length = l+2*r
Sources and model references

Made for real tasks

  • Calculate a capsule-shaped outline formed by a rectangle and two semicircular ends.
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Worked example

Inputs

End radius
3 length
Straight section length
10 length

Expected results

Area
88.27433388 length²
Perimeter
38.84955592 length
Overall Length
16 length

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 end radius, straight section length.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "r": 3,
  "l": 10
}

Accuracy and scope

Uses finite-precision arithmetic. Results describe the stated mathematical model, not measurement accuracy.

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.