How do you find the center and radius of the circle given #(x-4)^2+(y-1)^2=9#?
The center is
The general form of the circle equation is
In our example,
Note that because of the minus signs in the parentheses, you have to change the signs to find
There is a somewhat silly saying in math that the "inside lies". In other words, the numbers in the parentheses are the opposite sign of the number you are trying to find.
In our example, even though the number inside the first set of parentheses is