Which is the radian form of (195^\circ)?

Correct answer: ( \frac{13\pi}{12} ) radians

Direct answer: Option D, \(\frac{13\pi}{12}\) radians. The conversion rule is degrees multiplied by \(\frac{\pi}{180}\), because 180 degrees equals \(\pi\) radians. Therefore, \(195^\circ=195\times\frac{\pi}{180}=\frac{195\pi}{180}\). Divide numerator and denominator by 15: \(\frac{195}{180}=\frac{13}{12}\), so the result is \(\frac{13\pi}{12}\) radians. Option A, \(\frac{11\pi}{12}\), represents 165 degrees, not 195 degrees. Option B, \(\frac{7\pi}{6}\), represents 210 degrees. Option C, \(\frac{4\pi}{3}\), represents 240 degrees. Option D is correct because its degree conversion returns to 195 degrees: \(\frac{13\pi}{12}×\frac{180}{\pi}=195^\circ\). Memory cue: divide the degree number by 180 and attach \(\pi\), then simplify.