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

Use the distance formula (Pythagorean theorem) from (x,y) to center (−8,−2): (x+8)^2+(y+2)^2 = r^2. With r=2, the equation is

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

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