Answer to Question #145242 in Differential Geometry | Topology for Dolly

Differential Geometry | Topology

Question #145242

Find the centre of curvature of the astroid
x^2/3+y^2/3=a^2/3

Expert's answer

L=2Pi*R

L=6a

R=L/2Pi

R=6a/2Pi=3a/Pi

Distance btw (0,0) and O-centre of curve is R: Ox=R and Oy=R

Centre of the circle O(3a/Pi, 3a/Pi)

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