Chapter 3 - Section 3.2 - Introduction to Functions - Exercise Set: 91

$25\pi$ square centimeters

Work Step by Step

We are given that $A(r)=\pi r^{2}$. This relation is written in function notation, which tells us that the area of a circle is a function of its radius. Therefore, if we know the radius of a circle, we can calculate the area of that circle. We are given that the radius is 5 centimeters. We can insert $r=5$ into the equation to find the area of the circle. $A(5)=\pi 5^{2}=\pi \times5\times5=25\pi$ square centimeters

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