Answer:
Step-by-step explanation:
The standard form for the equation of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
From the info given, we have the center, (h, k) as (5, -3) and the x and y coordinates of (2, 5). We will use these to solve for r-squared, then plug back in what we need to write the equation.
[tex](2-5)^2+(5-(-3))^2=r^2[/tex] which simplifies to
[tex](-3)^2+(8)^2=r^2[/tex] and
[tex]9+64=r^2[/tex] so
[tex]r^2=73[/tex]
Filling in the equation:
[tex](x-5)^2+(y+3)^2=73[/tex]
