The circle below is centered at the point (3, 2) and has a radius of length 7. What is its equation?
what is
(X-3)^2 + (y-2)^2=49 ?
To find the equation of the circle, we can use the standard form of the equation of a circle:
(x - h)^2 + (y - k)^2 = r^2
Where (h, k) represents the center of the circle, and r represents the radius.
In this case, the center of the circle is (3, 2) and the radius is 7. Substituting these values into the equation, we have:
(x - 3)^2 + (y - 2)^2 = 7^2
(x - 3)^2 + (y - 2)^2 = 49
Therefore, the equation of the circle centered at (3, 2) with a radius of 7 is (x - 3)^2 + (y - 2)^2 = 49.