Question

What is the radian measure of the smaller angle formed by the hands of a clock at 4 pm?

Answer 1

On a clock, every 5 minutes is just another 30° angle deviation away from the 12th hour, hence 30° × 4 = 120°

Converting this value into radians..

$\frac{120\pi}{180}$
Simplifying this value should get you, 2π/3 rad, which is the radian measure of the clock hands at 4pm.