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°:

$225^{\circ}=\frac{\pi\text{ rad}}{180^{\circ}}=\frac{225}{180}\cdot\pi\text{ rad}=\frac{5}{4}\cdot\pi\text{ rad}$

Therefore, in terms of π:

$225^{\circ}=\frac{5}{4}\pi\text{ rad}$