Question

What is the approximate degree measure of an angle of 4.59 rad?

Answer 1

Step 1

To convert a number in Radian to degrees we multiply the number by 180 and divide the result by π.

Hence 4.59 radians to degrees will be;

`4.59*(180)/(\pi)`
`\begin{gathered} =(826.2)/(\pi ) \\ =\:262.98762^o \\ \approx263^o\text{ to the nearest whole number} \end{gathered}`

Answer;

`Approximately\text{ 263}^o\text{ to the nearest whole number}`