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Answer to Question #145242 in Differential Geometry | Topology for Dolly
Question #145242
Find the centre of curvature of the astroid
x^2/3+y^2/3=a^2/3
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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#339914 on Dec 2023
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