Text Convert 210∘210^\circ210∘ to radians and 3π8\dfrac{3\pi}{8}83π rad to degrees. Solution From degrees to radians multiply by π180\dfrac{\pi}{180}180π: 210∘=210⋅π180=7π6≈3.665 rad.210^\circ=210\cdot\frac{\pi}{180}=\frac{7\pi}{6}\approx3.665\ \text{rad}.210∘=210⋅180π=67π≈3.665 rad. From radians to degrees multiply by 180π\dfrac{180}{\pi}π180: 3π8 rad=38⋅180∘=67.5∘.\frac{3\pi}{8}\ \text{rad}=\frac{3}{8}\cdot180^\circ=67.5^\circ.83π rad=83⋅180∘=67.5∘. 210∘=7π6≈3.665 rad; 3π8 rad=67.5∘\boxed{210^\circ=\tfrac{7\pi}{6}\approx3.665\ \text{rad};\ \ \tfrac{3\pi}{8}\ \text{rad}=67.5^\circ}210∘=67π≈3.665 rad; 83π rad=67.5∘