To convert radians to degrees, we can follow these steps:
1. Recall the Conversion Factor:
The conversion factor between radians and degrees is [tex]\(180^\circ / \pi\)[/tex]. This means that one radian is equivalent to [tex]\(180 / \pi\)[/tex] degrees.
2. Multiply the Given Radians by the Conversion Factor:
Given that we have 4 radians, we'll multiply by the conversion factor to convert it to degrees:
[tex]\[
\text{degrees} = 4 \times \left(\frac{180}{\pi}\right)
\][/tex]
3. Calculate the Degrees:
After performing the multiplication, you get approximately [tex]\(229.1831180523293\)[/tex] degrees.
4. Round to the Nearest Degree:
To provide a clean and understandable answer, we round the result to the nearest degree.
Rounding [tex]\(229.1831180523293\)[/tex] gives [tex]\(229^\circ\)[/tex].
So, when a value of 4 radians is converted to degrees, it is approximately [tex]\(229^\circ\)[/tex]. Hence, the correct answer to the question is:
229°.
