Answer:
3.1 in
Step-by-step explanation:
for the given circle the following ratios are equal
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{\frac{5\pi }{12} }{2\pi }[/tex], hence
[tex]\frac{4}{2\pi r}[/tex] = [tex]\frac{\frac{5\pi }{12} }{2\pi }[/tex]
cross- multiply
2πr × [tex]\frac{5\pi }{12}[/tex] = 8π ( divide both sides by 2π )
[tex]\frac{5\pi }{12}[/tex] r = 4
multiply both sides by 12 and divide by 5π
r = [tex]\frac{12(4)}{5\pi }[/tex] = 3.1 ( to the nearest tenth )
