(\frac{7\pi}{6}) radians is equal to how many degrees?

Correct answer: (210^\circ)

Radians and degrees measure the same angle in different units. The basic conversion is \\(\pi\\) radians = \\(180^\circ\\). Therefore, to convert a radian measure into degrees, multiply it by \\(\frac{180^\circ}{\pi}\\). The factor \\(\pi\\) cancels, leaving a degree measure.

For this angle, \\(\frac{7\pi}{6}\times\frac{180^\circ}{\pi}=7\times30^\circ=210^\circ\\). Equivalently, \\(\frac{\pi}{6}=30^\circ\\), so seven such parts make \\(210^\circ\\). Thus option C is correct. The angle is greater than 180 degrees but less than 360 degrees, which is consistent with the result.