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Find the area of a segment of a circle if its arc is 120 degrees and the radius is 3 inches.

User Ali
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1 Answer

28 votes
28 votes

Answer: 9.42 inches, 3π in terms of pi

Explanation:

A full circle is 360 degrees, so if the segment has an arc of 120 degrees, it is 1/3 of a regular circle.

To find the area of a circle, we use the equation A = πr^2. In this case, we will divide the equation by 3 because we are only finding 1/ of a circle. So, our equation will be A = (πr^2)/3.

Using 3.14 for π:

A = (πr^2)/3.

A = (π3^2)/3

A = (π9)/3

A = 3π

A = 9.42

User Jenski
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