Question

question 7 of 10
5 radians is the same as ____ °.
round to the nearest hundredth of a degree.
answer here

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 given value

We are given \( 5 \) radians. Substitute \( \text{Radians} = 5 \) into the formula:
\( \text{Degrees} = 5 \times \frac{180^\circ}{\pi} \)

Step3: Calculate the value

First, calculate \( 5\times180 = 900 \). Then divide by \( \pi \):
\( \text{Degrees} = \frac{900}{\pi} \approx \frac{900}{3.1415926535} \approx 286.47889757 \)

Step4: Round to the nearest hundredth

Rounding \( 286.47889757 \) to the nearest hundredth gives \( 286.48 \)

Answer:

\( 286.48 \)