Radian Measure Math Example 1

Solution

1. 1
   $135°$ to radians: multiply by $\frac{\pi}{180}$. $135\times\frac{\pi}{180}=\frac{135\pi}{180}=\frac{3\pi}{4}$ rad.
2. 2
   $\frac{5\pi}{6}$ rad to degrees: multiply by $\frac{180}{\pi}$. $\frac{5\pi}{6}\times\frac{180}{\pi}=\frac{5\times180}{6}=\frac{900}{6}=150°$.
3. 3
   Memory aid: $\pi$ rad $= 180°$; to go to radians multiply by $\pi/180$; to go to degrees multiply by $180/\pi$.