Question

Which expression converts 4pi radians to degrees?

Answer 1

4pi/2pi = x/360
use a proportion
2 radians equals 360 degrees
x = 720 degrees

Answer 2

`4\pi` radian = 720 °

Explanation:

Given : 4pi radians .

To find : Which expression converts 4pi radians to degrees.

Solution : We have given that 4pi radians .

1 radian =
`(\pi )/(180)`.

`4\pi` radian =
`(\pi )/(180)`.

`4\pi` radian =
`4\* 180` *
`(\180 )/(180)`.

`4\pi` radian = 4 * 180

`4\pi` radian = 720 °

Therefore,
`4\pi` radian = 720 °