# Definitions for **radius of curvature**

### This page provides all possible meanings and translations of the word **radius of curvature**

### Princeton's WordNet

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

### Wiktionary

radius of curvature(Noun)

The radius of the osculating circle at the point on the curve

### Freebase

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, 2014. Web. 31 Jul 2014. <http://www.definitions.net/definition/radius of curvature>.