Question

question 12
convert the angle in radians to degrees.
\frac{5\pi}{4}
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Explanation:

Step1: Recall the conversion formula

The formula to convert radians to degrees is \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).

Step2: Substitute the given radian value

Given \( \text{Radians}=\frac{5\pi}{4}\), substitute into the formula: \( \frac{5\pi}{4}\times\frac{180^{\circ}}{\pi}\).

Step3: Simplify the expression

The \( \pi\) terms cancel out. Then \( \frac{5\times180^{\circ}}{4}=\frac{900^{\circ}}{4} = 225^{\circ}\).

Answer:

\(225\)