Answer:
3.1 in
Step-by-step explanation:
In any circle the following ratios are equal
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{angleatcentre}{2\pi }[/tex]
[tex]\frac{4}{2r\pi }[/tex] = [tex]\frac{\frac{5\pi }{12} }{2\pi }[/tex]
[tex]\frac{4}{2r\pi }[/tex] = [tex]\frac{5}{24}[/tex] ( cross- multiply )
10πr = 96 ( divide both sides by 10π )
r = [tex]\frac{96}{10\pi }[/tex] = 3.1 in ( nearest tenth )
