Question
convert the angle 7pi/2 radians to degrees
Answers
GPT-4o mini
To convert radians to degrees, you can use the conversion factor \(\frac{180^\circ}{\pi}\).
Starting with the angle \( \frac{7\pi}{2} \) radians:
\[
\text{Degrees} = \frac{7\pi}{2} \times \frac{180^\circ}{\pi}
\]
The \(\pi\) in the numerator and denominator cancel out:
\[
= \frac{7 \times 180^\circ}{2}
\]
Now, calculate \( \frac{7 \times 180}{2} \):
\[
= \frac{1260}{2} = 630^\circ
\]
So, \( \frac{7\pi}{2} \) radians is equal to \( 630^\circ \).
Starting with the angle \( \frac{7\pi}{2} \) radians:
\[
\text{Degrees} = \frac{7\pi}{2} \times \frac{180^\circ}{\pi}
\]
The \(\pi\) in the numerator and denominator cancel out:
\[
= \frac{7 \times 180^\circ}{2}
\]
Now, calculate \( \frac{7 \times 180}{2} \):
\[
= \frac{1260}{2} = 630^\circ
\]
So, \( \frac{7\pi}{2} \) radians is equal to \( 630^\circ \).