Question

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

Answer 1

Answer: 9.42 inches, 3π in terms of pi

Step-by-step 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