The circle a? + (y- 1) = 1 is rotated about the line y =a -5. A torus is obtained from this rotation. Find the surface area of thetorus. (Hint: Use Pappus Theorem)

Given: The equation of circle is x2+y-12=1. Also, the given equation of line is y=x-5. The circle…

Answered: The circle x² + (y - 1)² = 1 is rotated…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 27E

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The circle x² + (y - 1)² = 1 is rotated about the line y = x - 5. A torus is obtained from this rotation. Find the surface area of the torus. (Hint: Use Pappus Theorem)