The standard form of the equation of a circle by using the given diameter and center is: [tex](x + 2)^2 + (y - 9)^2 = 36[/tex]
Given the following data:
To determine the standard form of the equation of a circle by using the given diameter and center.
Mathematically, the standard form of the equation of a circle is given by;
[tex](x - h)^2 + (y - k)^2 = r^2[/tex] .....equation 1
Where;
- h and k represents the coordinates at the center.
- r represents the radius of the circle.
[tex]Radius = \frac{Diameter}{2} \\\\Radius = \frac{12}{2}[/tex]
Radius = 6 units
Substituting the values into eqn 1, we have:
[tex](x - [-2])^2 + (y - 9)^2 = 6^2\\\\(x + 2)^2 + (y - 9)^2 = 36[/tex]
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