Respuesta :

nancygoyal

Answer:

[tex](x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]

Step-by-step explanation:

Equation of circle is:

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

Here (h,k) are the coordinates of center and r is radius

(h,k) =(2,-5)

r. = 4

plug in the values of h,k and r

[tex](x - 2) {}^{2} + (y - ( - 5)) {}^{2} = 4 {}^{2} \\ (x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]

semsee45

Answer:

[tex](x-2)^2+(y+5)^2=16[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

  • center = (2, -5)
  • radius = 4

Substitute the given values into the equation:

[tex]\implies (x-2)^2+(y-(-5))^2=4^2[/tex]

[tex]\implies (x-2)^2+(y+5)^2=16[/tex]

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