Discover how IDNLearn.com can help you learn and grow with its extensive Q&A platform. Get comprehensive and trustworthy answers to all your questions from our knowledgeable community members.
In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
central angle = 120°
length of the arc = 5π in
Step 02:
arcs and circles:
radius:
[tex]\begin{gathered} arc\text{ length = }\frac{\theta}{360\degree}\text{ * 2}\pi\text{ r } \\ \\ 5\pi\text{ in = }\frac{120\degree}{360\degree}*\text{ 2}\pi r \end{gathered}[/tex][tex]\frac{360\degree\text{ * 5}\pi}{120\degree *2\pi}\text{= r}[/tex]r = 7.5 in
The answer is:
r = 7.5 in