The standard form of the equation of a circle is [tex](x-6)^{2}+(y-4)^{2}=7[/tex].
Solution:
Center of the circle = (6, 4)
Radius of the circle = [tex]\sqrt{7}[/tex]
To find the equation of the circle:
General formula for the equation of a circle
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
where (h, k) is the center of the circle and r is the radius of the circle.
Here, h = 6, k = 4 and r = [tex]\sqrt{7}[/tex]
[tex](x-6)^{2}+(y-4)^{2}=(\sqrt{7}) ^{2}[/tex]
[tex](x-6)^{2}+(y-4)^{2}=7[/tex]
Hence the standard form of the equation of a circle is [tex](x-6)^{2}+(y-4)^{2}=7[/tex].
