Question

Find the radius of curvature for the curve



3 +

3 + 2

2 + 3 − 4 = 0?

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Answer 1

Answer:

The radius of curvature of a curve at a point M(x,y) is called the inverse of the curvature K of the curve at this point: R=1K. Hence for plane curves given by the explicit equation y=f(x), the radius of curvature at a point M(x,y) is given by the following expression: R=[1+(y′(x))2]32|y′′(x)|.