Answer: Radius of the circle = 72 units.
Step-by-step explanation:
Since we have given that
Length of an arc = 48π
Central angle = 120⁰
As we know the formula for " length of an arc"
[tex]L=\frac{\theta}{360}\times 2\pi r\\\\48\pi=\frac{120}{360}\times 2\times \pi\times r\\\\48=\frac{1}{3}\times 2\times r\\\\\frac{48\times 3}{2}=r\\\\24\times 3=r\\\\72\ units=r[/tex]
Hence, radius of the circle = 72 units.
