Question
Convert 5Π/7 to degree measure
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Answered by
GPT-4o mini
To convert an angle from radians to degrees, you can use the following formula:
\[
\text{degrees} = \text{radians} \times \left( \frac{180}{\pi} \right)
\]
For the angle \( \frac{5\pi}{7} \) radians, the calculation would be:
\[
\text{degrees} = \frac{5\pi}{7} \times \left( \frac{180}{\pi} \right)
\]
The \( \pi \) cancels out:
\[
\text{degrees} = \frac{5 \times 180}{7}
\]
Now calculate it:
\[
\text{degrees} = \frac{900}{7} \approx 128.57
\]
So, \( \frac{5\pi}{7} \) radians is approximately \( 128.57 \) degrees.
\[
\text{degrees} = \text{radians} \times \left( \frac{180}{\pi} \right)
\]
For the angle \( \frac{5\pi}{7} \) radians, the calculation would be:
\[
\text{degrees} = \frac{5\pi}{7} \times \left( \frac{180}{\pi} \right)
\]
The \( \pi \) cancels out:
\[
\text{degrees} = \frac{5 \times 180}{7}
\]
Now calculate it:
\[
\text{degrees} = \frac{900}{7} \approx 128.57
\]
So, \( \frac{5\pi}{7} \) radians is approximately \( 128.57 \) degrees.
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