Final answer:
The radius of the circle of curvature at a certain point on a curve is equal to the reciprocal of the curvature of the curve at that point.
Step-by-step explanation:
The radius of the circle of curvature (osculating circle) at the given point on a curve is equal to the reciprocal of the curvature of the curve at that point. The curvature of a curve measures how quickly the curve is changing direction at a particular point. It can be calculated using the formula:
Curvature = 1 / radius
Therefore, if the radius of the point on the curve is 2, then the radius of the circle of curvature at that point is 1/2, which is equal to 0.5 (rounded to 2 decimal places).