   Chapter 7.1, Problem 29E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 27 to 34, Sketch and describe the locus of points in space.Find the locus of points that are at a distance of 2 cm from a sphere whose radius is 5 cm.

To determine

To find:

The locus of points that are at a distance of 2 cm from a sphere whose radius is 5 cm.

Explanation

Definition:

A locus is set of all points and only those points that satisfy a given set of conditions.

It must be noted that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

Step 1: Construct a circle of radius is 5 cm (In two dimensional space, the sphere is drawn as a circle).

Step 2: Construct another circle of radius is 5+2=7 cm (since we need to find the locus of points that are at a distance of 2 cm from a sphere) as shown in figure

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