Question

If the arc on a particular circle has an arc length of 14 inches, and the circumference of the circle is 84 inches, what is the angle measure of the arc?

Answer 1

The ratio of the angle to the angle of one revolution (360°) is equal to the ratio of the measure of the arc to the circumference. By letting x be the measure of the angle, the equation becomes,
x / 360 = 14 in / 84 in
The value of x is equal to 60°.