Question

Find the diameter of a circle with an area of
95.03 square feet.
​

Answer 1

11 feet

Explanation:

We are given the area of a circle and we are to find the diameter of this circle.

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

`\pi * r^2 = 95.03`

`r ^ 2 = \frac {95.03} {\pi }`
`r = \sqrt {30.25}`

`r = 5 . 5`

Therefore, our required diameter will be
`5.5 * 2` = 11 feet

Answer 2

For this case we have that the area of a circle is given by:

`A = \pi * r ^ 2`

Where:

r: It is the radius of the circle

By clearing the radio we have:

`r = \pm \sqrt {\frac {A} {\pi}}`

We take the positive value:

`r = \sqrt {\frac {A} {\pi}}\\r = \sqrt {\frac {95.03} {\pi}}\\r = 5.50 \ ft`

The diameter is twice the radius:

`d = 11`

Answer:

`11 \ ft`