Answer:
Second hand will turn through 74π radians.
Step-by-step explanation:
There are 37 minutes left in the class. We need to find by how much angle will the second hand turn before the end of the class.
When a second hand completes one full rotation along the clock it covers 360 degrees and completes 60 seconds.
This means:
In 60 seconds, the second hand turns by 360 degrees
Since, 60 seconds = 1 minute, we can write:
In 1 minute, the second hand turns = 360 degrees
360 degrees is equal to 2π radians. So,
In 1 minute, the second hand turns = 2π radians
Multiplying both sides by 37 gives us:
In 37 minutes, the second turns = 2π radians x 37 = 74π radians