AndrosI64280 AndrosI64280
  • 25-10-2022
  • Mathematics
contestada

Identify the center and the radius of the circle.(x - 1)^2+ (y + 3) = 4

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OlivetX592511 OlivetX592511
  • 25-10-2022

We are given the following equation of a circle.

[tex]\mleft(x-1\mright)^2+(y+3)^2=4[/tex]

The standard form of the equation of a circle is given by

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Comparing the given equation with the standard form we see that

[tex]\begin{gathered} h=1 \\ k=-3 \\ r^2=4 \\ r=\sqrt[]{4} \\ r=2 \end{gathered}[/tex]

Therefore, the center of the circle is

[tex]C=(h,k)=(1,-3)[/tex]

Therefore, the radius of the circle is

[tex]r=2[/tex]

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