Question

question 3
convert the angle $\frac{5\pi}{4}$ radians to degrees.
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Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given value

Given $\frac{5\pi}{4}$ radians. Substitute into the formula: $\frac{5\pi}{4}\times\frac{180^{\circ}}{\pi}$.

Step3: Simplify the expression

The $\pi$ cancels out. Then $\frac{5\times180^{\circ}}{4}=\frac{900^{\circ}}{4} = 225^{\circ}$.

Answer:

$225$