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user100 [1]
2 years ago
8

Please help me this is so confusing to me.

Mathematics
1 answer:
Naddik [55]2 years ago
8 0

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:

\frac{x}{360} = \frac{18\pi}{54\pi}

Cross multiply:

54πx = 6480π

Divide both sides by 54π to isolate for x:

x = 120°

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