Respuesta :

Answer:

The center is [tex](5,6)[/tex] and the radius is [tex]4[/tex] .

Step-by-step explanation:

The Equation of a circle:

[tex](x - h ) ^2 + ( y - k)^2 - r^2[/tex] (where the center is known as [tex](h,k)[/tex] and the radius is known as [tex]r[/tex]).

-So, according to the following equation of a circle, the center would be [tex](5,6)[/tex] and to find the radius, you need to square the simplified radius by [tex]2[/tex] in order to get the radius of the circle:

Following equation of a circle:

[tex](x-5)^2 + ( y-6)^2 = 16[/tex]

Center: [tex](5,6)[/tex]     Radius: [tex]\sqrt{16} = 4[/tex]

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