232k views
5 votes
Find the missing information

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

Would rlly appreciate it

User Geoyws
by
9.2k points

1 Answer

3 votes


\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

User Fbucek
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories