Question

HELP: Find the length of an arc of a circle with a 10-cm radius associated with a central angle of 126 degrees. Give your answer in exact and approximate form to the nearest hundredth. (Show and explain your work)
THANK YOU!!

Answer 1

$\it L_{arc}=\dfrac{2\pi R\cdot angle}{360^o}=\dfrac{2\pi\cdot10\cdot126^o}{360^o}=\dfrac{2520^o}{360^o}\cdot \pi=7\pi\approx7\cdot3,14 \Rightarrow\\ \\ \\ \Rightarrow\ L_{arc}\approx21,98\ cm\approx22\ cm$