What is the equivalent of \(60^\circ\) in radians?

To convert degrees to radians, you can use the conversion factor that (\pi) radians is equal to (180^\circ). To find the equivalent of (60^\circ) in radians, you set up the conversion as follows:

[

\text{radians} = 60^\circ \times \frac{\pi \text{ radians}}{180^\circ}

]

When you simplify this, you get:

[

\text{radians} = 60 \times \frac{\pi}{180} = \frac{60\pi}{180} = \frac{\pi}{3}

]

Thus, (60^\circ) is equivalent to (\frac{\pi}{3}) radians. This is important in trigonometry and other areas of mathematics, where radians are often a preferred unit of measure because they relate the angle directly to the arc length for a circle.

The correct answer, therefore, is (\frac{\pi}{3}).