Radius of Curvature - Theory & Concepts

Understand the curvature of a function, the radius of curvature, parametric/polar forms, and the osculating circle, essential concepts for highway engineering and structural analysis.

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Osculating Circle Simulation

Move the slider to see how the radius of curvature and the osculating circle change along the parabola $y = x^2$ .

Position on curve:

x = 0.50

Point (x, y):(0.50, 0.25)

First Derivative (y'):1.00

Radius of Curvature (R):1.41

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Osculating Circle Simulation

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