Respuesta :
4pi/2pi = x/360
use a proportion
2 radians equals 360 degrees
x = 720 degrees
use a proportion
2 radians equals 360 degrees
x = 720 degrees
Answer:
[tex]4\pi[/tex] radian = 720 °
Step-by-step explanation:
Given : 4pi radians .
To find : Which expression converts 4pi radians to degrees.
Solution : We have given that 4pi radians .
1 radian = [tex]\frac{\pi }{180}[/tex].
[tex]4\pi[/tex] radian = [tex]\frac{\pi }{180}[/tex].
[tex]4\pi[/tex] radian = [tex]4\* 180[/tex] * [tex]\frac{\180 }{180}[/tex].
[tex]4\pi[/tex] radian = 4 * 180
[tex]4\pi[/tex] radian = 720 °
Therefore, [tex]4\pi[/tex] radian = 720 °
