Verified Answer :


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

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