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

Question

405, degrees
405
∘

Answer 1

To convert degrees to radians, we use the conversion factor of π/180 radians per degree.

So, to convert 405 degrees to radians, we would multiply it by the conversion factor:

405 degrees * π/180 radians per degree

Simplifying, we have:

405 * π/180 = 9π/4 radians

So, 405 degrees is equal to 9π/4 radians.