Question

Find the radius of a circle with an area of 562 in2. Round your answer to the nearest
inch.​

Answer 1

Answer:

If the area of a circle is 562 in², then the radius of the circle is about 13 inches long.

Step-by-step explanation:

$A = r^2\pi$

$r = \sqrt{\frac{A}{\pi } }$

$r = \sqrt{\frac{562}{\pi } }$

$r = \sqrt{179}$

$r$ ≈ $13$

Answer 2

Answer:

13 inches

Step-by-step explanation:

The area of a circle is given by the equation A = πr²

To solve for r, we must first divide both sides by π to get $\frac{A}{\pi }=r^{2}$

We must then take the square root of both sides to get r by itself

Doing so, we get $r=\sqrt{\frac{A}{\pi } }$

Now plugging in our values that we have we can solve for r:

$r=\sqrt{\frac{562}{\pi } }=13.37$ and rounding to the nearest inch gives us 13 inches