Question

Convert the angle 0= 14 9 radians to degrees.

Express your answer exactly.
0 =

Answer 1

Given:

$\theta=\frac{14\pi}{9}\text{ radians}$$\text{Multiply both }\frac{180}{\pi}\text{ to convert radian to a degr}ee.$

$\theta=\frac{14\pi}{9}\text{ }\times\frac{180}{\pi}\text{ degre}e$

$\theta=14\times20\text{ degrees}$

$\theta=280\text{ degrees}$

Hence the answer is 280 degrees.