Question

How many radians does the minute hand of a clock rotate through over half an hour? How many degrees?

Answer 1

So minute hand will rotate
`\pi radian` in half an hour

Explanation:

In one hour minute hand of clock rotate about 360°

So in half an hour minute hand clock rotate
`(360)/(2)=180^(\circ)`

We have to find how many minute hand rotate in radian

For conversion of degree to radian we have to multiply with
`(\pi )/(180)`

So
`180^(\circ)=180* (\pi)/(180 )=\pi radian`

So minute hand will rotate
`\pi radian` in half an hour