Final answer:
The minute hand of a clock rotates through π/2 radians from 12:50 PM to 1:20 PM.
Step-by-step explanation:
To find out how many radians the minute hand of a clock rotates from 12:50 PM to 1:20 PM, we need to calculate the fraction of the entire revolution covered by the minute hand in that time period.
There are 60 minutes in an hour, so in 30 minutes (from 12:50 PM to 1:20 PM), the minute hand covers half of the 60-minute rotation.
Since a full revolution is 2π radians, the minute hand rotates through π radians in 30 minutes.
Therefore, the minute hand rotates through π/2 radians from 12:50 PM to 1:20 PM.