which expression converts 8 radians to degrees?
\(1rad= \frac{180^\circ}{\pi}\)
\(1^\circ = \frac{\pi}{180^\circ}\)
\(8 rad= 8* \frac{180^\circ}{\pi}\approx 458^\circ\)
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