What is the arc length when the central angle measures 60 degrees and the radius is 15 inches giving in terms of 3.14

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