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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

Elementary Geometry For College St...

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

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.

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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