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Write an equation of a circle with the given center and radius. Check your
answers,
(-4,-6), 7


Sagot :

Answer:   [tex]\boldsymbol{(x + 4)^2 + (y + 6)^2 = 49}\\\\[/tex]

Work Shown:

[tex](h,k) = (-4,-6) = \text{center}\\\\r = 7 = \text{radius}\\\\(x - h)^2 + (y - k)^2 = r^2\\\\(x - (-4))^2 + (y - (-6))^2 = 7^2\\\\\boldsymbol{(x + 4)^2 + (y + 6)^2 = 49}\\\\[/tex]

To check the answer, you can use a graphing calculator like GeoGebra or Desmos or similar.