alex2130 alex2130
  • 23-05-2020
  • Mathematics
contestada

Write the equation of a circle with a center at (11,-1) and a radius of √5

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Hrishii
Hrishii Hrishii
  • 26-05-2020

Answer:

[tex](x-11)^2 + (y+1)^2 = 5[/tex]

Step-by-step explanation:

Center of the circle = (11, -1)

therefore, h = 11, k = -1

Radius (r) =√5

Equation of circle in center radius form is given as:

[tex](x-h)^2 + (y-k)^2 = r^2\\(x- 11)^2+ \{y-(-1)\}^2 = (\sqrt{5} )^2\\\huge\red{\boxed{(x-11)^2 + (y+1)^2 = 5}}\\this\: is \:the \:required\: equation\: of\: the\: circle.[/tex]

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