Math Is Fun Forum

Cowman

Guest

Surface area of torus

How would one use the following parametrization of a torus to determine the surface area of the torus as a function of C and r?

x = (C + rcosv)cosu
y = (C + rcosv)sinu
z = rsinv

where 0 ≤ u, v ≤ 2*pi

C = radius from the center of the hole to the center of the torus tube
r =  radius of the torus tube

Dragonshade

Member

Registered: 2008-01-16

Posts: 147

Re: Surface area of torus

use the formula

Last edited by Dragonshade (2008-05-07 03:18:25)

Cowman

Guest

Re: Surface area of torus

Thanks, DragonShade!

Do you by any chance know how I would find the orienting normal for the torus as well?

Dragonshade

Member

Registered: 2008-01-16

Posts: 147

Re: Surface area of torus

Hmm, I have yet to learn that. but soon.