Curvature k = | dα/ds |. Mathematically, curvature is a numerical value indicating the bending degree of a curve at a certain point, and the formula of curvature can be expressed as: k = | dα/ds |.
The curvature of a curve is the rotation rate of the tangent direction angle of a point on the curve to the arc length.
The radius of curvature is the reciprocal of curvature. In differential geometry, the reciprocal of curvature is the radius of curvature, that is, r =1/k.
The curvature of a plane curve is defined as the differential rotation rate of the tangent angle of a point on the curve to the arc length, which indicates the degree to which the curve deviates from the straight line. For curves, it is equal to the arc radius of the curve near this point.
Curvature radius solution:
ρ=||，K = 1/ρ. or