Question

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

Answer 1

Answer:

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

Step-by-step explanation:

In one hour minute hand of clock rotate about 360°

So in half an hour minute hand clock rotate $\frac{360}{2}=180^{\circ}$

We have to find how many minute hand rotate in radian

For conversion of degree to radian we have to multiply with $\frac{\pi }{180}$

So $180^{\circ}=180\times \frac{\pi}{180 }=\pi radian$

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