Question

Convert 225o to radians.

Answer 1

...we multiply the number of degrees by π/180 because a whole circle is 360° or 2π radians.

225*
`\pi`/180

we factor by 45:=(45*5*π)/(45*4)

we simplify:

`(5\pi )/(4) radians`

Answer 2

`(5\pi )/(4)`

Explanation:

to covert degrees to radians

radians = degrees ×
`(\pi )/(180)`

substitute 225°

radians = 225° ×
`(\pi )/(180)` ( cancel 225 and 180 by 45 )

= 5 ×
`(\pi )/(4)`

=
`(5\pi )/(4)`