To solve this problem, we make use of the formula for arc length:
s = r θ
where the variables are,
s = the length of the arc = unknown value
r = radius of the circle = 15 inches
θ = the angle in radians = 60 degrees
Since the given angle is in units of degrees, therefore we need to convert this first into rad:
θ = 60° (π / 180°)
θ = π / 3
Going back to the arc length formula:
s = 15 inches (π / 3)
s = 5 π inches
Answer:
5 π inches