Question

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

Answer 1

Answer: 56.54 in

Step-by-step 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:

$r=\sqrt{\frac{A}{\pi }}=\sqrt{\frac{254.47in^2}{\pi }} =9in$

Then, the circumference is:

 $C=2\pi (9in)=56.54in$

Answer 2

Answer:

56.5 inches

Step-by-step 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.

$\pi r^2=254.47$

$r^2=\frac{254.47}{\pi }$

$r=\sqrt{81.00}$

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