curvature of a circle of radius r is given by
Curvature One way is geometrical. It is natural to define the curvature of a straight line to be constantly zero. The curvature of a circle of radius R should be large if R is small and small if R is large. Thus the curvature of a circle is defined to be the reciprocal of the radius:[2]
Pi Ï€ is commonly defined as the ratio of a circle's circumference C to its diameter d:[9]
Rate equation k is the first order rate constant, which has units of 1/s or sâˆ’1.
Circle As proved by Archimedes, in his Measurement of a Circle, the area enclosed by a circle is equal to that of a triangle whose base has the length of the circle's circumference and whose height equals the circle's radius,[7] which comes to Ï€ multiplied by the radius squared: