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\times\frac{180}{\pi}$$\begin{gathered} =\frac{826.2}{\pi } \\ =\:262.98762^o \\ \approx263^o\text{ to the nearest whole number} \end{gathered}$

Answer;

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