Question

If the radius of a circle is 5 centimeters, how long is the arc subtended by an angle measuring 60°?

Answer 1

`\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}\quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ \cline{1-1} r=5\\ \theta =60 \end{cases}\implies s=\cfrac{(60)\pi (5)}{180}\implies s=\cfrac{5\pi }{3}\implies s\approx 5.24`