** Notes**
1. AM = BM
So XA = YM = 12
AM^{2} = XM^{2} + XA^{2} = 81 + 144 = 225 etc.
2. Centre (*r,r*) is distance *r* from (16,8)
So (*r*-16)^{2} + (*r*-8)^{2} = *r*^{2}, etc
Solving, *r* = 40
(or 8, which is too small for a table).
3. Similarly, (*r*-1)^{2} + (*r*-4)^{2} + (*r*-5)^{2} = *r*^{2}
Solving, *r* = 3
(or 7, which is too big for a tennis ball) |
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