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Mathematics

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What is the arc length of the semicircle

What is the arc length of the semicircle class=

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Today at 1:39 PM

Answer:

The arc length of the semicircle is half the circumference of the full circle

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jdoe0001 jdoe0001

Today at 1:39 PM

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=11 \end{cases}\implies C=2\pi (11)\implies C=22\pi \\\\\\ \stackrel{~\hfill \textit{a semicircle has half of that}}{C=\cfrac{22\pi }{2}\implies C=11\pi \implies C\approx 34.56}[/tex]

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