Three spheres, with radius R and lie in the same plane, are given such that each of the spheres touches the other two. Determine the radius r of the fourth sphere that lies in the same plane and touches all three given spheres.

Three spheres, with radius R and lie in the same plane, are given such that each of the spheres touches the other two. Determine the radius r of the fourth sphere that lies in the same plane and touches all three given spheres.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.7: Applied Problems

Problem 58E

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Three spheres, with radius R
and lie in the same plane, are
given such that each of the
spheres touches the other two.
Determine the radius r of the
fourth sphere that lies in the
same plane and touches all
three given spheres.

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