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

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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(52780) About Me  (Show Source):
You can put this solution on YOUR website!
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Notice that PQ = 8%2Asqrt%282%29;  AB = sqrt%2818%29%2Asqrt%282%29.


So the ratio AB : PQ is the same as 8%2Fsqrt%2818%29, the ratio of the radii, and it is exactly the same as the ratio of the diameters.