Question

The area of a circle is 254.5 square feet, what is the diameter?

Answer 1

EXPLANATION

The area of a circle is given by the following relationship:

`\text{Area}_{\text{circle}}=\pi\cdot r^2`

Where r=radius= diameter/2

Replacing terms:

`254.5=\pi\cdot r^2`

Dividing pi to both sides:

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

Applying the square root to both sides:

`r=\sqrt[]{(254.5)/(\pi)}`

Simplifying:

`r=\sqrt[]{81}=9`

As the diameter=2*radius ----> Diameter = 18 units