Using the equation of the circle, it is found that the radius is of 5 units.
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the equation is:
[tex](x - 7)^2 + y^2 = r^2[/tex]
Boundary at (4,4), thus, we solve the equation for when [tex]x = 4, y = 4[/tex], to find r.
[tex](x - 7)^2 + y^2 = r^2[/tex]
[tex](4 - 7)^2 + 4^2 = r^2[/tex]
[tex]r^2 = 3^2 + 4^2[/tex]
[tex]r^2 = 25[/tex]
[tex]r = \sqrt{25}[/tex]
[tex]r = 5[/tex]
The radius of the circle is of 5 units.
A similar problem is given at https://brainly.com/question/23719612
