To find the length of an arc of a circle, we need to use the formula:
Arc length = (central angle/360°) x 2πr
where r is the radius of the circle.
In this case, the central angle is 100°, and the radius is 15 in. So we can plug in these values and simplify:
Arc length = (100/360) x 2π(15)
Arc length = (5/18) x 30π
Arc length = 50/3 π or approximately 52.36 in.
Therefore, the length of a 100° arc for a circle with a 15 in. radius is approximately 52.36 inches.