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THE FEUTEX TOOLKIT

Regular Star Polygon Path Length

Measure edge length and total traversal length for a regular star polygon step.

Geometry workspace● Runs in your browser
01 Your input
02 Your result
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FormulaEdge = 2*r*sin(PI*k/n); Total Edges Length = 2*n*r*sin(PI*k/n)
Sources and model references

Made for real tasks

  • Measure edge length and total traversal length for a regular star polygon step.
Explore step-by-step workflows →

Worked example

Inputs

Vertex count
5 count
Step between vertices
2 count
Circumradius
10 length

Expected results

Edge
19.02113033 length
Total Edges Length
95.10565163 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 vertex count, step between vertices, circumradius.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "n": 5,
  "k": 2,
  "r": 10
}

Accuracy and scope

Total counts all n edges. Non-coprime n and k produce separate star components; crossings do not split edges.

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.