Question
Convert 135 degree measure to radian measure
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Answered by
GPT-4o mini
To convert degrees to radians, you can use the conversion factor \(\frac{\pi \text{ radians}}{180 \text{ degrees}}\).
To convert 135 degrees to radians:
\[
135 \text{ degrees} \times \frac{\pi \text{ radians}}{180 \text{ degrees}} = \frac{135\pi}{180} \text{ radians}
\]
Now simplify \(\frac{135\pi}{180}\):
\[
\frac{135}{180} = \frac{3}{4}
\]
Therefore:
\[
135 \text{ degrees} = \frac{3\pi}{4} \text{ radians}
\]
So, \(135\) degrees is equal to \(\frac{3\pi}{4}\) radians.
To convert 135 degrees to radians:
\[
135 \text{ degrees} \times \frac{\pi \text{ radians}}{180 \text{ degrees}} = \frac{135\pi}{180} \text{ radians}
\]
Now simplify \(\frac{135\pi}{180}\):
\[
\frac{135}{180} = \frac{3}{4}
\]
Therefore:
\[
135 \text{ degrees} = \frac{3\pi}{4} \text{ radians}
\]
So, \(135\) degrees is equal to \(\frac{3\pi}{4}\) radians.
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