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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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The larger circle is inscribed in a square with sides of length 4 c m . The smaller circle is tangent to the larger circle and to two sides of the square, as shown. Find the length of the radius of the smaller circle.

Chapter 6.2, Problem 37E, The larger circle is inscribed in a square with sides of length 4cm. The smaller circle is tangent

To determine

To find:

The length of the radius of the smaller circle.

Explanation

Given:

Calculation:

Consider the given figure.

The side lengths of the square are 4 centimetre.

This is the diameter of the inscribed larger circle.

Therefore, d=PQ=4cm.

Then r=XB=X0=XP=XQ=42=2cm.

Consider the square XOAP.

Here, side length is 2cm

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