Definitions for radius of curvature
radius of curvature(noun)
the radius of the circle of curvature; the absolute value of the reciprocal of the curvature of a curve at a given point
radius of curvature(Noun)
The radius of the osculating circle at the point on the curve
Radius of curvature
The distance from the center of a circle or sphere to its surface is its radius. For other curved lines or surfaces, the radius of curvature at a given point is the radius of a circle that mathematically best fits the curve at that point. The equivalent "surface radius" that is described by radial distances at points along a body's surface is its radius of curvature. With a sphere, the radius of curvature equals the radius. With an oblate ellipsoid, however, not only does it differ from the radius, but it varies, depending on the direction being faced. The extremes are known as the principal radii of curvature.
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"radius of curvature." Definitions.net. STANDS4 LLC, 2013. Web. 4 Dec. 2013. <http://www.definitions.net/definition/radius of curvature>.