If the circumference of a circle is 24, and the angle measure of an arc is 120o, which is the length of the arc?

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Mathematics

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1 December, 18:18

If the circumference of a circle is 24, and the angle measure of an arc is 120o, which is the length of the arc?

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Young · Answer 1

The best way to solve this problem is to use proportions. That said, a circle's given arc length is proportional to the angle measure of that arc. So, 120degrees out of 360degrees total is one third (1/3) of the circle. Therefore, the arc length will be one third of the circle's circumference (24 • 1/3) which is 8.

The arc length is 8.