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?

(14/84)360

To find the angle measure of the arc, we need to use the formula relating the arc length to the circumference of a circle:

Arc Length = (Angle Measure / 360) * Circumference

In this case, the arc length is given as 14 inches and the circumference is given as 84 inches. We can rearrange the formula to solve for the angle measure:

Angle Measure = (Arc Length / Circumference) * 360

Plugging in the given values:

Angle Measure = (14 / 84) * 360

Angle Measure = 0.1667 * 360

Angle Measure ≈ 60

Therefore, the angle measure of the arc is approximately 60 degrees.