Question

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

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given radian measure

We are given the radian measure as $\frac{\pi}{2}$. Substituting into the formula, we get: $\frac{\pi}{2} \times \frac{180^\circ}{\pi}$.

Step3: Simplify the expression

The $\pi$ in the numerator and denominator cancels out, leaving $\frac{180^\circ}{2} = 90^\circ$.

Answer:

$90^\circ$