Question

The question of a circle is given below . Identify the radius and center then graph the circle (x+5)2+(y-2)2=4

Answer 1

(-5, 2) is the center; the radius is 2.

Explanation:

Compare the given (x+5)2+(y-2)2=4 to:

(x+5)^2+(y-2)^2=4

(I have used the symbol " ^ " to denote exponentiation.

Now compare this result to:

(x - h)^2 + (y - k)^2 = r^2

From this comparison we see that h = -5, k = +2 and r^2 = 4.

Thus, we conclude that the center of this circle is at (h, k): (-5, 2), and that the radius is 2.