Answer:
The equation of a circle:
[tex](x+2)^2+(y-3)^2 = 16[/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, known as [tex]r[/tex]).
-Since you already have the center and the radius, use them for the equation of a circle:
Center: [tex](-2,3)[/tex]
Radius: [tex]4[/tex]
[tex](x+2)^2+(y-3)^2 = 4^2[/tex]
After you have the equation of a circle, simplify the radius by the exponent [tex]2[/tex] :
[tex](x+2)^2+(y-3)^2 = 16[/tex]
So, you have found the equation of a circle.
