(1) radian is approximately equal to how many degrees?

Correct answer: (57.3^\circ)

The direct answer is option A: 1 radian is approximately \(57.3^\circ\). A full revolution is \(360^\circ\), and it is also \(2\pi\) radians. Dividing both by \(2\pi\), one radian equals \(\frac{360^\circ}{2\pi}=\frac{180^\circ}{\pi}\). Using \(\pi\approx3.1416\), this is about 57.3 degrees. Option A matches. Option B, 45°, equals \(\frac{\pi}{4}\) radians, not 1 radian. Option C, 60°, is close but not the correct conversion; it is \(\frac{\pi}{3}\) radians. Option D, 90°, equals \(\frac{\pi}{2}\) radians. Thus A is the accurate approximate value. Remember the anchor conversions: \(\pi\) radians = 180°, so one radian is a little less than 60°.