How to calculate the radius of curvature for a given curve?

To calculate the radius of curvature for a given curve, you can use the formula: ( R frac1 (dy/dx)23/2d2y/dx2 ), where ( dy/dx ) represents the slope of the curve and ( d2y/dx2 ) represents the second derivative of the curve. This formula helps determine how sharply the curve is bending at a specific point.