Question

the radius of a circle with an area of 60 square centimeters is represented by the expression. what is another way of expressing the radius? 2\sqrt{15\pi} 4\sqrt{5\pi} \frac{2\sqrt{15\pi}}{\pi} \frac{4\sqrt{5\pi}}{\pi}

Explanation:

Step1: Recall area formula

$A = \pi r^{2}$, where $A = 60$. So $60=\pi r^{2}$.

Step2: Solve for $r$

$r^{2}=\frac{60}{\pi}$, then $r=\sqrt{\frac{60}{\pi}}=\frac{\sqrt{60}}{\sqrt{\pi}}=\frac{2\sqrt{15}}{\sqrt{\pi}}=\frac{2\sqrt{15\pi}}{\pi}$

Answer:

$\frac{2\sqrt{15\pi}}{\pi}$ (corresponding to the third - option in the multiple - choice list)