Question

convert the following degree measure to radian measure.
240°

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 degree measure

We have \( 240^\circ \), so substitute into the formula: \( 240 \times \frac{\pi}{180} \)

Step3: Simplify the fraction

Simplify \( \frac{240}{180} \) by dividing numerator and denominator by 60: \( \frac{240\div60}{180\div60}=\frac{4}{3} \)
So, \( 240^\circ \) in radians is \( \frac{4\pi}{3} \)

Answer:

\( \frac{4\pi}{3} \)