Convert 135 degree measure to radian measure

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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.