Answer:
Step-by-step explanation:
Arc length has a formula of
[tex]AL=\frac{\theta}{360}*2\pi r[/tex] and we have all the info we need to solve for the radius, which we will then use in the circumference formula:
[tex]8\pi=\frac{20}{360}*2\pi r[/tex] and simplifying a bit,
[tex]8\pi=\frac{2}{36}*2\pi r[/tex] and a bit more,
[tex]8\pi=\frac{4\pi r}{9}[/tex]. Multiply both sides by 9:
72π = πr . Divide both sides by π to get that
r = 72.
Now we will sub that into the circumference formula to find the circumference. Recall that C = 2πr.
C = 2π(72) so
C = 144π
