Question

Find the circumference of a circle with an area of 254.47 square inches.
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Answer 1

Answer: 56.54 in

Explanation:

The area can be calculated with this formula:

`A=\pi r^2`

Where r is the radius

And the circumference can be calculated with this formula:

`C=2\pi r`

Where r is the radius

Solve for the radius from
`A=\pi r^2`. Then, tha radius is:

`r=\sqrt{(A)/(\pi )}=\sqrt{(254.47in^2)/(\pi )} =9in`

Then, the circumference is:

`C=2\pi (9in)=56.54in`

Answer 2

56.5 inches

Explanation:

We are given the area of a circle and we are to find the circumference of the same circle.

We know that the area of a circle is given by
`\pi r^2` so equating the given value to get.

`\pi r^2=254.47`

`r^2=(254.47)/(\pi )`

`r=√(81.00)`

r = 9 inches

Since we now know the radius of the circle so we can find its circumference.

Circumference of circle =
`2\pi r` =
`2\pi (9)` = 56.5 inches