Question

Find the missing information

Arc length = 13 m
Radius = ?
Central angle =45°

Would rlly appreciate it

Answer 1

`\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ s=13\\ \theta =45 \end{cases}\implies 13=\cfrac{(45)\pi r}{180} \\\\\\ 13=\cfrac{\pi r}{4}\implies 52=\pi r\implies \cfrac{52}{\pi }=r`