The perimeter of a semicircle is 81.212 yards. what is the semicircle's diameter?

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06-06-2022
Mathematics

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The perimeter of a semicircle is 81.212 yards. what is the semicircle's diameter?

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Jdoe0001idn Jdoe0001idn · Answer 1 · 2022-06-06T15:40:06-04:00

Jdoe0001idn Jdoe0001idn

06-06-2022

[tex]\textit{circumference of a semicircle}\\\\ C=\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=81.212 \end{cases}\implies 81.212=\pi r\implies \cfrac{81.212}{\pi }=r \\\\\\ \stackrel{\textit{its diameter is}}{2r\implies 2\left( \cfrac{81.212}{\pi } \right)} ~~ \approx ~~ 51.7[/tex]

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