Discussion
The radius of curvature of a curve at a point is
Answer: A
Curvature \( \kappa \) measures how fast the tangent direction turns per unit arc length, and the radius of curvature is \( \rho = 1/\kappa \). It is the radius of the circle that matches the curve in position, tangent and second derivative at the point, so a straight line has zero curvature and infinite radius
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