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;
[tex]4.59\times\frac{180}{\pi}[/tex][tex]\begin{gathered} =\frac{826.2}{\pi } \\ =\:262.98762^o \\ \approx263^o\text{ to the nearest whole number} \end{gathered}[/tex]Answer;
[tex]Approximately\text{ 263}^o\text{ to the nearest whole number}[/tex]