Uploaded December 2025 | Updated September 2026, 3 hours ago

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For a bezier curve of a given arc length with control points lying on a circle, the optimal handle length is this (according to stackoverflow.com/a/27863181/603653)

let num = 2.0 * PI / self.angle;
let optimal_length = self.radius * 4.0 / 3.0 * (PI / (2.0 * num)).tan();

The rust source code to the interactive application is here:
github.com/lucasw/clothoid_curve_rs/blob/main/bezier_circle_approximation/src/main.rs