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