The equation of a circle is ( x - 7 ) ^2 + y^2 = 225 . Which of the following are the center and the radius of the circle? show all steps
Responses
center =(-7, 0)
radius = 15
center = (7, 0)
radius = 15
center = (- 7, 0)
radius = 225
center = ( 7, 0)
radius = 225
To find the center and radius of a circle using the given equation, we can compare the equation to the general 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.
Comparing the given equation (x - 7)^2 + y^2 = 225 to the general equation, we can see that the center of the circle is (h, k) = (7, 0) and the radius is √225 = 15.
Therefore, the correct answer is:
center = (7, 0)
radius = 15