Question

convert \\(\frac{5pi}{2}\\) radians to degree measure.

Explanation:

Step1: Recall radian to degree formula

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

Step2: Substitute the given radian value

Given radian is $\frac{5\pi}{2}$. Substitute into the formula: Degree = $\frac{5\pi}{2}$ × $\frac{180^\circ}{\pi}$.

Step3: Simplify the expression

The $\pi$ in the numerator and denominator cancels out. Then we have $\frac{5}{2}$ × $180^\circ$. Calculate $\frac{5\times180^\circ}{2}$ = $5\times90^\circ$ = $450^\circ$.

Answer:

$450$