Suppose I travelrdistance away from the north pole and then made a spherical circle at this distance (essentially a line of latitude). How do I figure out the circumference of this spherical circle?

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- Oct 13th 2009, 09:34 PMJanu42Spherical Circle Circumference
Suppose I travel

*r*distance away from the north pole and then made a spherical circle at this distance (essentially a line of latitude). How do I figure out the circumference of this spherical circle? - Oct 13th 2009, 11:33 PMCaptainBlack
Draw a diagram:

Attachment 13345

$\displaystyle \rho$ is the radius to be used in calculation of the circumference, and:

$\displaystyle \sin(r/R)=\rho/R$

CB