Question

Find the equation of a circle passing through two points with a radius of 4

Answer 1

Circle formula:  (x - h)² + (y - k)² = r²   ; where (h,k) is the vertex & "r" is the radius

Since the radius is 4,    (x - h)² + (y - k)² = 4²   →   (x - h)² + (y - k)² = 16

1) If you have two points, replace "x" and "y" with the coordinates to create two equations with unknown variables "h" and "k".  

2) Then solve the system to determine the value of "h" and "k".

3) Input the values of "h", "k", and "r" into the Circle Formula.