# What is the radius of curvature of a space curve? Is it the same as a plane curve?

The radius of curvature of a plane curve is defined to be the absolute value of the reciprocal of the curvature i.e. mathematical formula

So for the case of a three-dimensional curve or space curve, can the same formula be used to evaluate the radius of its curvature? If so, what is the intuition behind it?