Question

what is 4 radians converted to degrees? if necessary, round your answer to the nearest degree.
45°
229°
720°

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, we use the formula: \( \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} \)

Step2: Substitute the value of radians

We have 4 radians, so substitute into the formula: \( \text{Degrees} = 4 \times \frac{180^\circ}{\pi} \)

Step3: Calculate the value

First, calculate \( 4\times180 = 720 \), then divide by \( \pi \): \( \frac{720}{\pi} \approx 229.1831 \)

Step4: Round to the nearest degree

Rounding \( 229.1831 \) to the nearest degree gives 229.

Answer:

229° (and the correct option is the one with 229°, i.e., the option labeled "229°")