Question

Convert the radian measure to degrees. (Round to the nearest hundredth when necessary): 7π/3A. 420B. 0.743C. 210D. 74.3

Answer 1

To convert from radians to degrees we multiply like this

$\text{ Degrees }=(\frac{180\text{\degree}}{\pi})\cdot\text{ radians}$

So, in this case, we have

$\begin{gathered} \text{ Degrees }=(\frac{180\text{\degree}}{\pi})\cdot\frac{7\pi}{3} \\ \text{ Degrees }=180\text{\degree}\cdot\frac{7}{3} \\ \text{ Degrees }=420\text{\degree} \end{gathered}$

Therefore, 7π/3 radians equals 420 degrees.