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djverab [1.8K]
3 years ago
11

A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2(pi)/3

Mathematics
1 answer:
Svetach [21]3 years ago
6 0

\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ &radians\\ \cline{1-2} r=&10\\ \theta =&\frac{2\pi }{3} \end{cases}\implies s=10\left( \cfrac{2\pi }{3} \right)\implies s=\cfrac{20\pi }{3}\implies s\approx 20.94

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