Answer:
The answer is [tex](x-1)^2+(y-2)^2=25[/tex]
Step-by-step explanation:
In order to determine the equation of a circle, we have to know the formula about it.
The "standard form equation of a circle" is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where:
(h,k)= coordinates of the center of the circle. "h" is the "x" coordinate and "k" is the "y" coordinate.
r=radius of the circle.
So, we just need the center and radius to get the equation of a circle.
In this case:
[tex](h,k)=(1,2)\\r=5\\\\(x-1)^2+(y-2)^2=(5)^2\\(x-1)^2+(y-2)^2=25[/tex]
I have attached an image that shows a graph of a circle.
