MeiF306574 MeiF306574
  • 27-10-2022
  • Mathematics
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Which of the following answer choices is an equation for the circle with a center of (-2, 3) and a radius of 3?

Which of the following answer choices is an equation for the circle with a center of 2 3 and a radius of 3 class=

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YiselR420741 YiselR420741
  • 27-10-2022

We have that the formula for the circle with a center of (-2, 3) and a radius of 3 is given by the formula:

[tex](x-(-2))^2+(y-3)^2=3^2=(x+2)^2+(y-3)^2=9[/tex]

Then, we can expand the previous expression as follows:

[tex]x^2+4x+4+y^2-6y+9=9[/tex]

Thus

[tex]x^2+4x+4+y^2-6y+9-9=0\Rightarrow x^2+4x+4+y^2-6y=0[/tex]

Therefore

[tex]x^2+y^2+4x-6y+4=0[/tex]

Then, the correct answer is option D.

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