Question

convert the angle \\(\theta = 100^\circ\\) to radians.
express your answer exactly.

\\(\theta =\\) radians

Explanation:

Identify the conversion formula

$$ \text{Radians} = \text{Degrees} \times \frac{\pi}{180^\circ} $$

Substitute the given angle

$$ \theta = 100^\circ \times \frac{\pi}{180^\circ} $$

Simplify the fraction

$$ \theta = \frac{100}{180}\pi = \frac{5}{9}\pi $$

Answer:

Convert the angle \(\theta = 100^\circ\) to radians. Express your answer exactly.

\(\theta =\) <blank>\(\frac{5\pi}{9}\)</blank> radians