Question

What is the radius of the circle if the Arc is 10 ft Long and the Ángel is 2 pi/3

Answer 1

`\bf \textit{arc's length}\\\\ s=r\theta \quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ ------\\ s=10\\ \theta =(2\pi )/(3) \end{cases}\implies 10=r\cdot \cfrac{2\pi }{3}\implies \cfrac{30}{2\pi }=r\implies \cfrac{15}{\pi }=r`