Question

Convert the following angle from degrees to radians. Express your answer in simplest form. 225

Answer 1

Given the measure of an angle in degrees

To convert from the degree to radian, we will use the following formula:

$\theta(rad)=\theta\degree *\frac{\pi}{180}$

Given the angle in degree = 225°

So, the measure of the angle in radian will be as follows:

$225\degree *\frac{\pi}{180}=\frac{225}{180}\pi=\frac{5}{4}\pi$

So, the answer will be:

$\frac{5\pi}{4}$