Convert 3π4 radians to degrees.(1 point) 3π4 radians= degrees

Answer 1

To convert radians to degrees, you can use the conversion factor:

\[ \text{Degrees} = \text{Radians} \times \frac{180}{\pi} \]

For \( \frac{3\pi}{4} \) radians:

\[ \text{Degrees} = \frac{3\pi}{4} \times \frac{180}{\pi} \]

The \( \pi \) cancels out:

\[ \text{Degrees} = \frac{3 \times 180}{4} \]

Calculating that gives:

\[ \text{Degrees} = \frac{540}{4} = 135 \]

Therefore, \( \frac{3\pi}{4} \) radians is equal to \( 135 \) degrees.