Since you did not specify which point is the centre we could make either one to be the centre.
case 1.
centre is (-1,3) and (2,2) lies on the circle
let the other point be A(a,b)
midpoint calculation:
(a+2)/2 = -1 and (b+2)/2 = 3
a+2 = -2 and b+2 = 6
a = -4 and b=4
so in case 1 the diameter would go from (2,2) to (-4,4) with the midpoint (the centre) as (-1,3)
case 2
centre is (2,2) .......
give it a try
A radius of a circle has end points at O(-1,3) and R(2,2). find two possible end points for the diameter that contains this radius. describe any assumptions you make.
1 answer