Search Ctrl K
Home / Tools
THE FEUTEX TOOLKIT

Ellipse Local Radius of Curvature

Measure curvature and osculating radius at a location on an elliptical curve.

Geometry workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaRadius = (a**2*sin(t*PI/180)**2+b**2*cos(t*PI/180)**2)**1.5/(a*b); Curvature = a*b/(a**2*sin(t*PI/180)**2+b**2*cos(t*PI/180)**2)**1.5
Sources and model references

Made for real tasks

  • Measure curvature and osculating radius at a location on an elliptical curve.
Explore step-by-step workflows →

Worked example

Inputs

Semi-axis a
5 length
Semi-axis b
3 length
Parameter angle
45 degrees

Expected results

Radius
4.672853042 length
Curvature
0.2140020221 1/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 semi-axis a, semi-axis b, parameter angle.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "a": 5,
  "b": 3,
  "t": 45
}

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.