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Sonbull [250]
3 years ago
8

PLEASE HELP

Mathematics
1 answer:
Andrei [34K]3 years ago
3 0

Given that the radius of the circle is 6 cm.

The central angle is 120°

We need to determine the length of AB.

<u>Length of AB:</u>

The length of AB can be determined using the formula,

{arc \ length}=2 \pi r\left(\frac{\theta}{360}\right)

Substituting \theta=120 and r=6 in the above formula, we get;

arc\ length}=2 \pi (6)\left(\frac{120}{360}\right)

Simplifying the values, we get;

arc\ length}=2 \pi (6)\left(\frac{1}{3}\right)

arc\ length}=12 \pi \left(\frac{1}{3}\right)

arc\ length}=4 \pi

Substituting π = 3.14, we have;

arc\ length}=4(3.14)

arc\ length}=12.56

Thus, the arc length of AB is 12.56 cm

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