To change from radians to degrees we just need to find a relationship between the two units.
180° (half a turn) is equal to π radians, then, we can multiply 5 radians by the following to change its units:
[tex]5\text{ rad}\cdot\frac{180^o}{\pi\text{ rad}}[/tex]By multiplying by a fraction with 2 equivalent quantities in both numerator and denominator, we keep the 5 radians unaltered while having the equivalent quantity in different units:
[tex]5\text{ rad}\cdot\frac{180^o}{\pi\text{ rad}}=\frac{5\cdot180}{\pi}\text{ degres}=\frac{900}{\pi}\text{ degres}[/tex]Leaving the answer in terms of π, we have then that 5 radians are equal to 900/π degrees.
