The standard forrm equation of the circle is (x-h)² + (y-k)² = r² where h,k : x,y-coordinate of the center r : radius of the circle Get the center of the circle : h =(x1 + x2)/2 = (9+5)/2 = 7 k = (y1 + y2)/2 = (4+2)/2 = 3 => the center is (7,3) Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius r = √(x1 - h)² + (y1 - k)² r = √(9 - 7)² + (4 - 3)² r = √2² + 1² r = √5 Finally, the equation of the circle is (x - 7)² + (y - 3)² = (√5)² (x - 7)² + (y - 3)² = 5
if the distance from origin 0 of b is the same as the distance of a from b but in opposite directions, this makes b differ from a by polarity but with similar values.
