Question

Write the equation of the circle.

Answer 1

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

Answer 2

Answer:

$(x-2)^{2}$ + $(y + 1)^{2}$ = 9

Step-by-step 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