complete the equation of this circle: (x - ?)²+(y - )²=

complete the equation of this circle: (x - ?)²+(y - )²=

complete the equation of this circle: (x - ?)²+(y - )²=

Answer

Explanation:

Step1: Find the center coordinates

The center of the circle (A) is at ((2,3)) from the grid. In the standard - form equation of a circle ((x - h)^2+(y - k)^2=r^2), (h) and (k) are the (x) and (y) coordinates of the center. So (h = 2) and (k = 3).

Step2: Calculate the radius

Count the distance from the center ((2,3)) to a point on the circle. For example, the distance from ((2,3)) to ((6,3)) is (r=4). Then (r^2 = 16).

Answer:

((x - 2)^2+(y - 3)^2=16)