Question

A circle is drawn on a coordinate plane with the center point at (−8,−2)
and a radius of 2. Derive the equation of the circle in standard form, using the given information and the Pythagorean Theorem.(1 point)

(x+2)^2+(y+8)^2=2


(x+8) ^2+(y+2)^2=4


(x−2)^2+(y−8)^2=2


(x−8)^2+(y−2)^2=4

Answer 1

The standard form is (x − h)^2 + (y − k)^2 = r^2. With center (h,k) = (−8,−2) and r = 2, the equation is

(x + 8)^2 + (y + 2)^2 = 4.

So the correct choice is (x+8)^2 + (y+2)^2 = 4.