To convert degrees to radians, we use the conversion factor that π radians is equal to 180 degrees. Therefore, to express 135 degrees in radians, we can use the following formula:
Radians = (Degrees × π) / 180
Plugging in 135 degrees:
Radians = (135 × π) / 180
Now, we simplify:
Radians = (135/180) × π
Simplifying the fraction:
135/180 = 3/4
Thus, we have:
Radians = (3/4) × π = (3π) / 4
So, 135 degrees expressed in radians is (3π) / 4.