Hi there! :)
[tex]\large\boxed{A = 120^{o}}[/tex]
Find the central angle using a ratio in regards to angle and circumference.
The radius is 27 units, so use the following equation to calculate circumference:
C = 2rπ
Therefore:
C = 2(27)π = 54π
Since we have the total circumference, we can write the following proportion:
[tex]\frac{x}{360} = \frac{18\pi}{54\pi}[/tex]
Cross multiply:
54πx = 6480π
Divide both sides by 54π to isolate for x:
x = 120°
