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type the standard form of the equation of the circle with the given center and radius

Type The Standard Form Of The Equation Of The Circle With The Given Center And Radius class=

Answer :

[tex](x+8)^2+(y-6)^2\text{ = 100}[/tex]

Here, we want to write the standard form of the equation of a circle

Mathematically, we have the standard form as;

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where (a,b) represents the coordinates of the center of the circle and r represents the radius

Thus, we have it that;

[tex]\begin{gathered} (x+8)^2+(y-6)^2=10^2 \\ (x+8)^2+(y-6)^2\text{ = 100} \end{gathered}[/tex]