The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 40 minutes ?

4π in ≈ 12.57 in

Step-by-step explanation:

One full revolution (2π radians) is made in 60 minutes. In 40 minutes, the hand moves through an angle θ of (40/60) (2π) = 4π/3 radians. The length of the arc is ...

s = rθ = (3 in) (4π/3) = 4π in ≈ 12.57 in