A circle is centered at (2,-5) and has radius 3. Write its equation in standard form.

(x - 2) ² + (y + 5) ² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h) ² + (y - k) ² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (2, - 5) and r = 3, thus

(x - 2) ² + (y - ) - 5)) ² = 3², that is

(x - 2) ² + (y + 5) ² = 9 ← equation in standard form