Question

Convert the angle 0 = 228° to radians. Express your answer exactly.

Answer 1

Answer:

$\frac{19 \pi}{15}$

Step-by-step explanation:

To convert a given angle from degrees to radians, we multiply by

$\frac{ \pi}{180}$

The given degree measure is 228°

Its radian equivalence is

$\frac{ \pi}{180} \times 228 = \frac{19 \pi}{15}$

Therefore the exact value of 228° is

$\frac{19 \pi}{15} \: radians$