Question

Convert the angle 225° from degrees to radians. Enter your answer in terms of π.

Answer 1

Remember that:

`\pi\text{ rad}=180^(\circ)`

Dividing both sides by 180° we get:

`\frac{\pi\text{ rad}}{180^(\circ)}=1`

Which we can use as conversion factor to convert degrees to radians.

For an angle of 225°:

`225^(\circ)=\frac{\pi\text{ rad}}{180^(\circ)}=(225)/(180)\cdot\pi\text{ rad}=(5)/(4)\cdot\pi\text{ rad}`

Therefore, in terms of π:

`225^(\circ)=(5)/(4)\pi\text{ rad}`