Remember that a circle of radius R, centered at the point (a, b) is described by the equation:
[tex](x - a)^2 + (y - b)^2 = R^2[/tex]
In this case, we have the equation:
[tex](x - 5)^2 + (y + 2)^2 = 49[/tex]
First, notice that 49 = 7², so we can rewrite:
[tex](x - 5)^2 + (y + 2)^2 = 7^2[/tex]
Then, comparing this with the general circle equation, we can see that the center is at (5, -2) and the radius is R = 7.
Then the source is at (5, -2) and the range is 7 units.
If you want to learn more about circles:
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