Question

What is 4 radians converted to degrees? If necessary, round your answer to the nearest degree.

13°
45°
229°
720°

Answer 1

4 radians
`= 229`
`degrees`

Explanation:

We have to convert radians to degrees, thus in order to convert radians to degree, the radians should be multiplied with
`(180)/(\pi )`.

Thus, conversion of 4 radians to degrees is as follows:

4 radians
`=4*(180)/(\pi )`

Using the value of
`\pi =3.14`, get

4 radians
`=4*(180)/(3.14)`

4 radians
`=4*57.32`

4 radians
`=229`

229.29 rounded to the nearest degree is 229.

Thus 4 radians converted to degrees is 229.