Question

What is the radian measure of this angle? 135 degrees

Answer 1

To convert degrees to radians, you can use the conversion factor \(\frac{\pi \text{ radians}}{180 \text{ degrees}}\).

For an angle of \(135\) degrees, the conversion to radians is as follows:

\[
135 \text{ degrees} \times \frac{\pi \text{ radians}}{180 \text{ degrees}} = \frac{135\pi}{180} \text{ radians}
\]

Now, simplify the fraction \(\frac{135}{180}\):

\[
\frac{135}{180} = \frac{3}{4}
\]

Thus, we have:

\[
135 \text{ degrees} = \frac{3\pi}{4} \text{ radians}
\]

So, the radian measure of \(135\) degrees is \(\frac{3\pi}{4}\) radians.