True or False: Let Kr be the curvature of a circle of radius r (in R2) then lim as r approaches infinity Kr=1.
I say false because as r approaches infinity the Kr= infinity.
Is that right?
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On a circle of radius , the curvature is uniformly .
We know this because the curvature on the unit circle is uniformly , and on an arc-length-paramatrized circle of radius , changes as fast.
so the lim kr as r approaches infinity would = 0 not infinity, correct? so Its false still
That is correct.
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