The area of a circle is
A = pi x r^2
Area is given as 193ft^2
pi = 3.142
193 = 3.142 x r^2
divide both sides by 3.142
193 / 3.142 = 3.142r^2 / 3.142
61.425 = r^2
take the squareroot of both sides
![\begin{gathered} r\text{ = }\sqrt[]{61.425} \\ r\text{ = 7.83ft} \\ r\text{ = 7.8ft} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/xmcfea5w0osxc3vbhre2ibexhflsjha4a0.png)
The area of the circle is pi x r^2
r is the radius
from the question we are given area to be 193
since A = pi x r^2
A = 193 and p1 = 3.142
now
193 = 3.142 x r^2
the radius is unknown
to make r^2 the subject of the formula we need to divide both sides by 3.142
193 / 3.142 = 3.142r^2 / 3.142
r^2 = 193/3.142
r^2 = 61.425
then square the both sides
r = squareroot of 61.425
r = 7.8ft