Give the equation of the circle with center at (0, 2) and radius = 5
(x-0)^2 + (y-2)^2 = 25
x^2 + (y-2)^2 = 25
That's what I got, too. Thank you! I just wanted to be sure I was doing the problem right.
To find the equation of a circle with center (h, k) and radius r, we use the formula:
(x - h)^2 + (y - k)^2 = r^2
In this case, the center of the circle is (0, 2), and the radius is 5. So, plugging in these values into the formula, we get:
(x - 0)^2 + (y - 2)^2 = 5^2
Simplifying further:
x^2 + (y - 2)^2 = 25
Therefore, the equation of the circle with center at (0, 2) and radius 5 is x^2 + (y - 2)^2 = 25.