Answer:
Option D. r = 15 units
Step-by-step explanation:
In this question Length of arc is given as s = [tex]\frac{20}{3}\pi[/tex]
and angle inscribed at the center is θ = [tex]\frac{4\pi }{9}[/tex]
By the formula s = rθ
By placing the values of s and θ we can get the length of radius
[tex]\frac{20\pi }{3}=r(\frac{4\pi }{9} )[/tex]
r = [tex]\frac{\frac{20\pi }{3} }{\frac{4\pi }{9} }[/tex]
r = [tex]\frac{20\pi }{3}\times \frac{9}{4\pi }[/tex] = 15 unit
Therefore, Option D. r = 15 will be the answer.
