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A manufacturer of metal washers needs to determine the​ cross-sectional area of each washer. If the outer radius of the washer is R and the radius of the hole is​ r, express the area of the washer as a polynomial. Factor this polynomial completely.

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musiclover10045

The formula for area of any circle is :πr2.  

To find the area of the washer, subtract the area of the hole from the area of the outer circle:

 

A = πR2 - πr2

 

A = π(R2 - r2)

 

Now factor completely:

 

A = π(R + r)(R - r)

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