Question

convert the angle θ = 230° to radians. express your answer exactly. θ = ** radians

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, we use the formula: \( \text{radians} = \text{degrees} \times \frac{\pi}{180} \)

Step2: Substitute the given angle

We have \( \theta = 230^\circ \), so substitute into the formula: \( \theta = 230 \times \frac{\pi}{180} \)

Step3: Simplify the fraction

Simplify \( \frac{230}{180} \) by dividing numerator and denominator by 10: \( \frac{23}{18} \)
So, \( \theta = \frac{23\pi}{18} \)

Answer:

\( \frac{23\pi}{18} \)