The standard equation of a circle is the following:
[tex]r^2=(x-h)^2+(y-k)^2[/tex]where (h,k) is the center and (x,y) can be any point
In this example, (h,k) = (-3,-3)
and, (x,y) = (2,-3)
using this information we can calculate the radius r
[tex]\begin{gathered} r^2=(2+3)^2+(-3+3)^2 \\ r^2=5^2+0 \\ r^2=5^2 \\ r=5 \end{gathered}[/tex]therefore, the standard equation for this circle is:
[tex]5^2=(x+3)^2+(y+3)^2[/tex]and this can be graph as it follows:
now, the area in terms of r for a circle is
[tex]A=\pi r^2[/tex]So, the area for this circle is 78.5
[tex]\begin{gathered} A=\pi\cdot5^2 \\ A=25\pi \\ A=78.53981 \\ A\approx78.5 \end{gathered}[/tex]
