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Igoryamba
3 years ago
9

A Circle Has a radius of six inches what is the exact length of an arc formed by a central angle measuring 45 degrees

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6\\ \theta =45 \end{cases}\implies s=\cfrac{(45)\pi (6)}{180}\implies s=\cfrac{3\pi }{2}\implies s\approx 4.7

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