Question

5 true or false 20 points
\frac{5\pi}{4}=230^{\circ}
true
false

Explanation:

Step1: Convert radians to degrees

To convert radians to degrees, use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
For \(\frac{5\pi}{4}\) radians, we have \( \frac{5\pi}{4}\times\frac{180^{\circ}}{\pi}\).
The \(\pi\) terms cancel out, and we get \( \frac{5\times180^{\circ}}{4}\).

Step2: Calculate the value

\( \frac{5\times180^{\circ}}{4}=\frac{900^{\circ}}{4} = 225^{\circ}\).

Answer:

False