# Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3: 46

The area is 36$\pi$ units squared.

#### Work Step by Step

The formula for the circumference of a circle is: C = 2 $\times$ $\pi$ $\times$ r. Substitute 12$\pi$ for C to obtain: 12$\pi$ = 2 $\times$ $\pi$ $\times$ r Divide both sides by 2$\pi$ 6 = r The formula for the area of a circle is $\pi$ $\times$ $r^{2}$ Substitute 6 for r to obtain: A = $\pi$ $\times$ $6^{2}$ A = 36$\pi$

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