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The radius of curvature of a circle, or an arc of a circle is the same as the radius of the circle.

For a curve (other than a circle) the radius of curvature at a given point is obtained by finding a circular arc that best fits the curve around that point. The radius of that arc is the radius of curvature for the curve at that point.


The radius of curvature for a straight line is infinite.

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Q: What is the radius of curvature?
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