The equation of a circle with the center (4,-3) and a radius of 3 is:
(x-4)^2+(y+3)^2=9
Step-by-step explanation:
Given
Radius = r = 3
Centre = (h,k) = (4,-3)
The general form of equation of circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Putting the values of center and radius
[tex](x-4)^2+[y-(-3)]^2=(3)^2\\(x-4)^2+(y+3)^2=9[/tex]
Hence,
The equation of a circle with the center (4,-3) and a radius of 3 is:
(x-4)^2+(y+3)^2=9
Keywords: circle, Equation of circle
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