Question

convert the angle \frac{\pi}{2} radians to degrees.
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Explanation:

Step1: Use the conversion formula

To convert radians to degrees, use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
Given \( \text{Radians}=\frac{\pi}{2}\), substitute into the formula: \( \frac{\pi}{2}\times\frac{180^{\circ}}{\pi}\).

Step2: Simplify the expression

The \( \pi\) terms cancel out: \( \frac{1}{2}\times180^{\circ}\).
Calculate \( \frac{180^{\circ}}{2}=90^{\circ}\).

Answer:

\(90\)