SOLUTION: Let A and B be the positive x-intercept and the positive y-intercept, respectively, of the circle x2 + y2 = 18. Let P and Q be the positive x-intercept and the positive y-intercept
Question 1154778: Let A and B be the positive x-intercept and the positive y-intercept, respectively, of the circle x2 + y2 = 18. Let P and Q be the positive x-intercept and the positive y-intercept, respectively, of the circle x2 + y2 = 64. Verify that the ratio of chords AB : P Q matches the ratio of the corresponding diameters. What does this data suggest to you? Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website! .
Notice that PQ = ; AB = .
So the ratio AB : PQ is the same as , the ratio of the radii, and it is exactly the same as the ratio of the diameters.