Question

Issac waits 25 minutes for his piano lesson to start. how far does the minute hand move in radians

Answer 1

5pi/6

There are 60 minutes in one hour. In a clock this means half of it is 30 minutes.

There are 2pi radians on a complete unit circle. This means half of the unit circle is 1pi.

It is asking for 25 minutes and this can be broken up into 5 minute intervals. This means there are six 5 minute intervals in 30 minutes.

When pi is broken up into 6 pieces you simply divide it by 6 giving you; pi/6

This means that in 30 mins a minute hand would move pi/6 radians, and in 25 minutes it would move 5pi/6 radians.

Answer 2

58.4 rad. The clock shows up to 12. Divide 360/12 to get degrees per 5 mins. Then multiply it by five and convert to rad