   Chapter 6.4, Problem 41E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Construct two externally tangent circles where the radius length of one circle is twice the radius length of the other circle.

To determine

To construct:

Two externally tangent circles.

Explanation

Given:

The radius length of one circle is twice the radius length of the other circle.

Properties Used:

Two circles are tangent to each other if they have only one common point. Two circles can be externally tangent if the circles are situated outside one another.

Construction Strategy:

i) Draw the circles O with radius r.

ii) Take a point X on the circle and join OX¯ and extend it outside.

iii) Draw an arc of distance 2r from point X on OX¯ outside the circle O. Let this point be P.

iv) With P as center and radius as 2r draw another circle P.

v) O and P are the two externally tangent circles

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