Question

convert the angle \\(\theta = 230^\circ\\) to radians.
express your answer exactly.

\\(\theta =\\) radians

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Explanation:

State the conversion factor

$$ 180^\circ = \pi \text{ radians} $$

Set up the conversion equation

$$ \theta = 230^\circ \times \frac{\pi \text{ radians}}{180^\circ} $$

Simplify the fraction

$$ \theta = \frac{230\pi}{180} = \frac{23\pi}{18} \text{ radians} $$

Answer:

Convert the angle \(\theta = 230^\circ\) to radians. Express your answer exactly.

\(\theta =\) <blank>\(\frac{23\pi}{18}\)</blank> radians