Question

write 60° in radian measure? (1 point) 60° is equivalent to dashed box radians. options: $\frac{pi}{3}$, $\frac{pi}{4}$, $\frac{pi}{6}$ (each in a box)

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 value

We have \( 60^\circ \), so substitute into the formula: \( 60^\circ \times \frac{\pi}{180^\circ} \)

Step3: Simplify the expression

Simplify \( \frac{60\pi}{180} \) by dividing numerator and denominator by 60: \( \frac{\pi}{3} \)

Answer:

\( \frac{\pi}{3} \) (corresponding to the first option: \( \boldsymbol{\frac{\pi}{3}} \))