# Circle of Curvature

by nns91
Tags: circle, curvature
 HW Helper P: 3,307 Hi nns91 what do you need to define a circle in the plane? - a radius - a circle centre The equation of a cirlce of centre (a,b) and radius r is $$(x-a)^2 + (y-b)^2 = r^2$$ You have your radius from $$r = \frac{1}{\kappa}$$ Also are you sure \kappa is 1? how did you get this? how do you find the centre of the circle? It is not (pi/2,1). This is a point on your curve. Think about the unit normal direction.