CALCULUS
Understanding Its Concepts and Methods
Curvature, Radius of curvature
The curvature
of a parametric curve (x(t),
y(t)) is
and its radius of
curvature is r = 1/k.
This is the radius of a circle that is
the best fit to the curve at the point (x(t), y(t)).
![]() |
r
= 1 - 2 cos θ |
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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.