Radius of Curvature Proof - approximating a curve with a circle!

The video tutorial explains the concept of radius of curvature, illustrating how a particle's path can be modeled as a circular path at any instant. It details the calculation of the radius of curvature using circular motion formulas, specifically focusing on deriving DS and D Theta. The tutorial further explains the differentiation process to find D Theta and derives the final formula for the radius of curvature. The video concludes with a simplification of the formula and a discussion on the use of absolute value to ensure a positive radius of curvature.

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