Explanation
the length of an arc is given by:
[tex]\begin{gathered} \\ \text{Arc}_{length}=2\pi\text{ r(}\frac{\Theta}{360}) \end{gathered}[/tex]where r is the radius and theta is the angle
then
Step 1
Let
radius=13
angle=68
replace
[tex]\begin{gathered} \text{Arc}_{length}=2\pi\text{ r(}\frac{\Theta}{360}) \\ \text{Arc}_{length}=2\pi\text{ }*13\cdot\text{(}\frac{68}{360}) \\ \text{Arc}_{length}=15.428 \\ \text{rounded} \\ \text{Arc}_{length}=15.43\text{ units} \end{gathered}[/tex]I hope this helps you
