   Chapter 8.3, Problem 31E ### 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
1 views

# Find the ratio of the area of a square circumscribed about a circle to the area of a square inscribed in the circle.

To determine

To find:

The ratio of the area of a square circumscribed about a circle to the area of a square inscribed in the circle.

Explanation

The area of the square is given by, A = s2 where s is side of the square.

Calculation:

Consider a circle with center O, ABCD as circumscribed square and PQRS as inscribed square.

Let us suppose the side of the PQRS be x, i.e., PQ = QR = RS = SP = x

Since, PQRS as inscribed square and all the angles of a square are right angles.

Hence, QPS=90

Use Pythagoras theorem in ΔPQS.

QS2=PQ2+PS2QS2=x2+x2QS2=2x2

The diameter of the circle is equal to the side AD of the circumscribed square

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In Problems 19-44, factor completely. 42.

Mathematical Applications for the Management, Life, and Social Sciences

#### Evaluate 11(x2x3)dx a) 32 b) 56 c) 12 d) 23

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### For 0

Study Guide for Stewart's Multivariable Calculus, 8th

#### Define a construct and explain the role that constructs play in theories.

Research Methods for the Behavioral Sciences (MindTap Course List) 