Respuesta :
[tex]1rad= \frac{180^\circ}{\pi} [/tex]
[tex]1^\circ = \frac{\pi}{180^\circ} [/tex]
[tex]8 rad= 8* \frac{180^\circ}{\pi}\approx 458^\circ[/tex]
Answer
Find out which expression converts 8 radians to degrees .
To proof
The relationship between the radians to degrees is given by
[tex]1\ radian = (\frac{180}{\pi} )^{\circ}[/tex]
Where
[tex]\pi = 3.14[/tex]
Now convert 8 radians to degrees .
[tex]8\ radian = (8)\times (\frac{180}{\pi})^{\circ}[/tex]
solving the above
[tex]8\ radian = (\frac{1440}{\pi})^{\circ}[/tex]
As
[tex]\pi = 3.14[/tex]
[tex]8\ radian = (\frac{1440}{3.14})^{\circ}[/tex]
8\ radian ≈ (458.6)°
Hence proved