find the equation of a circle whose center is at (-2, -5) and radius 4
the general equation is
... (x - h)^2 + (y - k)^2 = r^2
r is the radius , (h,k) is the center
To find the equation of a circle given its center and radius, you can use the standard form of the circle equation, which is:
(x - h)^2 + (y - k)^2 = r^2
Where (h, k) represents the center of the circle, and r is the radius.
In your case, the center of the circle is (-2, -5), and the radius is 4. Plugging these values into the standard equation, we can write:
(x - (-2))^2 + (y - (-5))^2 = 4^2
Simplifying, we get:
(x + 2)^2 + (y + 5)^2 = 16
Therefore, the equation of the circle is (x + 2)^2 + (y + 5)^2 = 16.