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QUESTION IMAGE

convert the angle \\( \\frac{\\pi}{2} \\) radians to degrees.

Question

convert the angle \\( \frac{\pi}{2} \\) radians to degrees.

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given value

Given the angle is $\frac{\pi}{2}$ radians. Substitute into the formula: Degrees = $\frac{\pi}{2}\times\frac{180}{\pi}$

Step3: Simplify the expression

The $\pi$ terms cancel out. So, $\frac{\pi}{2}\times\frac{180}{\pi}=\frac{180}{2}=90$

Answer:

90