Frank has a circular Garden the area of the garden is 100 ft Square what is the approximate distance from the edge of Frank's garden to the center of the garden (A= 3.14r ² )

Respuesta :

ANSWER

[tex]5.64ft[/tex]

EXPLANATION

The approximate distance from the edge of the garden to the center is the radius of the garden.

The area of a circle is given as:

[tex]A=\pi\cdot r^2[/tex]

We can find the radius by making r the subject of the formula:

[tex]\begin{gathered} \frac{A}{\pi}=\frac{\pi\cdot r^2}{\pi} \\ r^2=\frac{A}{\pi} \\ r=\sqrt[]{\frac{A}{\pi}} \end{gathered}[/tex]

Therefore, the approximate distance from the edge of the garden to the center (radius) is:

[tex]\begin{gathered} r=\sqrt[]{\frac{100}{3.14}} \\ r=\sqrt[]{31.85} \\ r\approx5.64ft \end{gathered}[/tex]

That is the answer.