Question

question
convert the angle \frac{5\pi}{4} radians to degrees.
answer attempt 1 out of 5

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, use the formula: Degree measure = Radian measure $\times\frac{180^{\circ}}{\pi}$.

Step2: Substitute the given radian value

Given the radian measure $\frac{5\pi}{4}$, substitute it into the formula: $\frac{5\pi}{4}\times\frac{180^{\circ}}{\pi}$.

Step3: Simplify the expression

The $\pi$ in the numerator and denominator cancels out. Then, $\frac{5\times180^{\circ}}{4}=\frac{900^{\circ}}{4} = 225^{\circ}$.

Answer:

$225^{\circ}$