Question

Question #350ab

Answer 1

The answer is `-5/4pi` radians.

Explanation:

To convert degrees to radians, multiply the degree value by `pi/(180º)`:

`-225cancelº*pi/(180cancelº)`

`(-225pi)/180`

`-5/4pi = -1.25pi ~~-3.926`

Answer 2

`-(5pi)/4`

Explanation:

It's very worth memorizing all of the `45^circ` angles in radians, which become the `pi/4` angles.

`45^circ to pi/4`
`135^circ to (3pi)/4`
`225^circ to (5pi)/4`
`315^circ to (7pi)/4`

Having these memorized tells you quickly that `-225 to -(5pi)/4`.

You can also convert any degree measure to radians by multiplying it by `pi/180`.