The distance from the vertex to the center of curvature is known as the radius of curvature (represented by R). What is the Radius of the Curvature Formula? Let us understand the radius of curvature formula in detail using solved examples in the following section. The radius of curvature is not a real shape or figure rather it's an imaginary circle. The radius of curvature is the reciprocal of the curvature. The amount by which a curve derivates itself from being flat to a curve and from a curve back to a line is called the curvature. The radius of curvature formula is denoted as 'R'. As we move along the curve the radius of curvature changes. Any approximate circle's radius at any particular given point is called the radius of curvature of the curve.
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