Question

The equation of a circle with center (1,1) and radius 2 is given by

Answer 1

General form
`x^(2)` +
`y^(2)` -2x -2t -14 = 0

Explanation:

`\sqrt{(x-1)^(2) +(y-1)^(2) }` = 4 Square both sides

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

`x^(2)` - 2x + 1 +
`y^(2)` -2y + 1 = 16 Combine like terms

`x^(2)` +
`y^(2)` -2x - 2y +2 = 16 Subtract 16 from both sides

`x^(2)` +
`y^(2)` -2x -2y -14 = 0