Question

Change 5 radians to degrees (leave the answer in terms of π)

Answer 1

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:

`5\text{ rad}\cdot\frac{180^o}{\pi\text{ rad}}`

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:

`5\text{ rad}\cdot\frac{180^o}{\pi\text{ rad}}=(5\cdot180)/(\pi)\text{ degres}=(900)/(\pi)\text{ degres}`

Leaving the answer in terms of π, we have then that 5 radians are equal to 900/π degrees.