Carroll Barker
11/01/2023 · Primary School
Convert the angle in radians to degrees. 4.57
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To convert radians to degrees, you can use the conversion factor \( \frac{180}{\pi} \).
The formula to convert radians to degrees is:
\[
\text{Degrees} = \text{Radians} \times \frac{180}{\pi}
\]
Now, substituting \( 4.57 \) radians into the formula:
\[
\text{Degrees} = 4.57 \times \frac{180}{\pi}
\]
Using \( \pi \approx 3.14159 \):
\[
\text{Degrees} \approx 4.57 \times \frac{180}{3.14159} \approx 4.57 \times 57.2958 \approx 262.4
\]
Therefore, \( 4.57 \) radians is approximately \( 262.4 \) degrees.
Quick Answer
\( 4.57 \) radians is approximately \( 262.4 \) degrees.
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