Question

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

Answer 1

`(x-1)^2+(y+1)^2=(1)/(4)`

Explanation:

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

What we're given:

• 
  `r` of 1/2
• Center at (1, -1)

Substituting given values, we get:

`(x-1)^2+(y-(-1))^2=(1)/(2)^2,\\\boxed{(x-1)^2+(y+1)^2=1/4}`