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Question

Find the area of the circles given the circumference. Give your answers in terms of $\pi .$ $C = 8 \pi$

Solution

VerifiedStep 1

1 of 2Using the formula, $C^{2} = 4\pi A$, determine the area.

$\begin{align*} C^{2} &= 4\pi A && \text{Use the formula}\\ (8\pi)^{2} &= 4\pi A && \text{Substitute the value for $C$}\\ 64\pi^{2}&= 4\pi A && \text{Evaluate the power}\\ \dfrac{64\pi^{2}}{4\pi} &= \dfrac{4\pi A}{4\pi} && \text{Divide each side by $4\pi$}\\ \boldsymbol{16\pi} &\boldsymbol{= A} && \text{Simplify} \end{align*}$

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