Question

How many radians does the minute hand of a clock rotate through over 10 minutes? How many degrees?

Answer 1

Answer:

10 minutes =  1.047198 radians

10 minutes = 60 degree

Step-by-step explanation:

we know that

There is 60 minutes in an hour

so it is This is 2 Pi radians

so 10 minutes is  $\frac{10}{60}$ or  $\frac{1}{6}$ th of an hour

and here we know  the hand will travel  of the full circle

and we know A full circle measures 2 Pi radians

2 × pi radians = 360 degrees

10 minutes = $\frac{1}{6}$ ×   2 × pi radians

10 minutes =  $\frac{1}{3}$ × pi radians

10 minutes =  1.047198 radians

10 minutes = 60 degree