   Chapter 10.5, Problem 74E

Chapter
Section
Textbook Problem

# Surface Area of a Tours Find the surface area of the tours generated by revolving the circle given by r = a about the line r = b sec θ , where 0 < a < b .

To determine

To Calculate: The surface area of a torus generated by revolving the circle given by r=a about the line r=bsecθ where 0<a<b.

Explanation

Given:

Equation of the given circle is r=a and its polar equation is r=bsecθ where 0<a<b.

Formula Used:

Area of surface of revolution,

Calculation:

Consider the polar equation given as;

r=bsecθ and circle is given by r=a, where 0<a<b.

Then,

Area of surface of revolution,

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