Answer:
the required positive radian measure of the smaller angle is 5π/6 radians or 2.618 radians
Step-by-step explanation:
Given the data in the question;
smaller angle formed by the hands of a clock at 5 o'clock
{at 5 o'clock, two angles are form; 150° and 210°}
hence, the smaller angle is 150°
so, smaller angle = 150° × π/180°
smaller angle = 150°π/180°
smaller angle = 5π/6 radians or 2.618 radians
Therefore, the required positive radian measure of the smaller angle is 5π/6 radians or 2.618 radians