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Write the equation of a circle that has a radius of 1/2 and a center at (1, -1),
O (x - 1)^2 + (y - 1)^2 - 1/2
O (x - 1)^2 + (y +1)^2 - 1/4
O (x+1)^2 - (y + 1)^2 - 1/4
O (x + 1)^2 + (y - 1)^2 = 1/2

Respuesta :

Corsaquix

Answer:

[tex](x-1)^2+(y+1)^2=\frac{1}{4}[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex] is given by [tex](x-h)^2+(y-k)^2=r^2[/tex].

What we're given:

  • [tex]r[/tex] of 1/2
  • Center at (1, -1)

Substituting given values, we get:

[tex](x-1)^2+(y-(-1))^2=\frac{1}{2}^2,\\\boxed{(x-1)^2+(y+1)^2=1/4}[/tex]

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