Question

convert the following degree measure to radian measure. 270°

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given degree measure

We are given \( 270^\circ \), so substitute into the formula: \( 270^\circ \times \frac{\pi}{180^\circ} \)

Step3: Simplify the expression

Simplify \( \frac{270}{180} \) by dividing numerator and denominator by 90: \( \frac{270\div90}{180\div90} = \frac{3}{2} \). So the result is \( \frac{3\pi}{2} \)

Answer:

\( \frac{3\pi}{2} \)