Solution
- The formula for finding the equation of a circle is given as:
[tex]\begin{gathered} (x-a)^2+(y-b)^2=r^2 \\ where, \\ (a,b)\text{ is the center of the circle} \\ r\text{ is the radius of the circle} \end{gathered}[/tex]
- We have been given:
[tex]\begin{gathered} (a,b)=(5,-7) \\ r=6 \end{gathered}[/tex]
- Thus, we can write the equation of the circle as follows:
[tex]\begin{gathered} (x-5)^2+(y-(-7))^2=6^2 \\ (x-5)^2+(y+7)^2=36 \end{gathered}[/tex]
Final Answer
The equation of the circle is
[tex](x-5)^2+(y-(-7))^2=36[/tex]
