Question

Please help me this is so confusing to me.

Answer 1

Hi there! :)

`\large\boxed{A = 120^(o)}`

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:

`(x)/(360) = (18\pi)/(54\pi)`

Cross multiply:

54πx = 6480π

Divide both sides by 54π to isolate for x:

x = 120°