The equation of the given circle is [tex](x-5)^{2}+(y-14)^{2}=16.[/tex]
Step-by-step explanation:
Step 1:
The equation of a circle with its center at (h, k) and a radius of r is given by
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
The h value is the x coordinate and the k value is the y coordinates, so (h, k) is (5, 14).
The radius is given as 4 so [tex]r=4[/tex] and [tex]r^{2} = 16.[/tex]
Step 2:
By substituting the values we know, we get
So the equation of the given circle is
[tex](x-h)^{2}+(y-k)^{2}=r^{2}, (x-5)^{2}+(y-14)^{2}=16.[/tex]
