Question

Write the equation of the circle.

Answer 1

(x-1)^2 + (y+1)^2 = 9

Answer 2

`(x-2)^(2)` +
`(y + 1)^(2)` = 9

Explanation:

The basic equation for the area of a circle is:

`(x - h)^(2)` +
`(y - k)^(2)` =
`r^(2)`, where h is the x-variable of the center, k is the y-variable of the center, and r is the value of the radius.

From the picture of the circle, we can see that the coordinates of the center are (2, -1) and the radius is 3. We can then substitute this into the basic equation:

`(x-2)^(2)` +
`(y + 1)^(2)` =
`3^(2)`

Finally, simplify the right side of the equation:

`(x-2)^(2)` +
`(y + 1)^(2)` = 9