Mathematics, 24.06.2019 18:00 jay1041
The area of a compact disc is 452 4/7 square centimeters. what is the diameter of a compact disc ? use 22/7 as an approximation for pie?
Answers: 1
![\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=452\frac{4}{7} \end{cases}\implies 452\frac{4}{7}=\pi r^2\implies \cfrac{3168}{7}=\pi r^2 \implies \cfrac{3168}{7\pi }=r^2 \\\\\\ \stackrel{\pi =\frac{22}{7}}{\cfrac{3168}{7\cdot \frac{22}{7}}}=r^2\implies \cfrac{3168}{22}=r^2\implies 144=r^2\implies \sqrt{144}=r\implies 12=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{diameter=2r}{d=24}~\hfill](/tpl/images/0012/6687/bca04.png)
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The area of a compact disc is 452 4/7 square centimeters. what is the diameter of a compact disc ?...
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