Question

question
convert the angle \\( \frac { 19 \pi } { 12 } \\) radians to degrees.
answer attempt 1 out of 5
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Explanation:

Step1: Use the conversion formula

To convert radians to degrees, use the formula: Degrees = Radians $\times\frac{180^{\circ}}{\pi}$.
For the angle $\frac{19\pi}{12}$ radians, we have Degrees = $\frac{19\pi}{12}\times\frac{180^{\circ}}{\pi}$.

Step2: Simplify the expression

The $\pi$ terms cancel out. Then, $\frac{19}{12}\times180^{\circ}=19\times15^{\circ}$.
Since $19\times15 = 285$, the angle in degrees is $285^{\circ}$.

Answer:

$285^{\circ}$