Question

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

Answer 1

13 inches

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
`(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{(A)/(\pi ) }`

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

`r=\sqrt{(562)/(\pi ) }=13.37` and rounding to the nearest inch gives us 13 inches

Answer 2

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

Explanation:

`A = r^2\pi`

`r = \sqrt{(A)/(\pi ) }`

`r = \sqrt{(562)/(\pi ) }`

`r = √(179)`

`r` ≈
`13`