Question

Which expression converts 8 radians to degrees?

Answer 1

$1rad= \frac{180^\circ}{\pi}$
$1^\circ = \frac{\pi}{180^\circ}$
$8 rad= 8* \frac{180^\circ}{\pi}\approx 458^\circ$

Answer 2

Answer

Find out which expression converts 8 radians to degrees .

To proof

The relationship between the radians to degrees is given by

$1\ radian = (\frac{180}{\pi} )^{\circ}$

Where

$\pi = 3.14$

Now convert 8 radians to degrees .

$8\ radian = (8)\times (\frac{180}{\pi})^{\circ}$

solving the above

$8\ radian = (\frac{1440}{\pi})^{\circ}$

As

$\pi = 3.14$

$8\ radian = (\frac{1440}{3.14})^{\circ}$

8\ radian ≈ (458.6)°

Hence proved