Mathematics, 28.06.2019 01:00 spreadlight10
What is the diameter in inches of a circle that has an area of 16pi square inches
Answers: 2
![\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=16\pi \end{cases}\implies 16\pi =\pi r^2\implies \cfrac{16\pi }{\pi }=r^2\implies 16=r^2 \\\\\\ \sqrt{16}=r\implies 4=r~\hfill \stackrel{\textit{diameter is twice the radius}}{d=8}](/tpl/images/0025/3144/ea3d9.png)
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