kingvonn1437 kingvonn1437
  • 21-10-2019
  • Mathematics
contestada

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

Respuesta :

aristeus aristeus
  • 22-10-2019

Answer:

So minute hand will rotate [tex]\pi radian[/tex] 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 [tex]\frac{360}{2}=180^{\circ}[/tex]

We have to find how many minute hand rotate in radian

For conversion of degree to radian we have to multiply with [tex]\frac{\pi }{180}[/tex]

So [tex]180^{\circ}=180\times \frac{\pi}{180 }=\pi radian[/tex]

So minute hand will rotate [tex]\pi radian[/tex] in half an hour

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