   Chapter 6.1, Problem 17E 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

Given: Concentric circles with center Q T V = 8  and  V W = 2 R Q ¯ ⊥ T V ¯ Exercises 16, 17 Find: R Q (HINT: Let R Q = x . )

To determine

To calculate:

The value of RQ by using the provided figure.

Explanation

Given:

The concentric circles with centre Q, RQ¯TV¯, TV=8 and VW=2

Postulate used:

A radius that is perpendicular to a chord bisects the chord.

Concentric circle:

Concentric circle are coplanar circles that have a common centre.

Since, a radius is a line segment that joins the centre of the circle to a point on a circle.

Calculation:

Let, RQ=x

Since, RQ¯TV¯ then RT=TV where TV=8 and VW=2.

Now, RV=12TV then we obtain

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