Find the number of saucers
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We have a circular dining table made of marble which has come down to us as a family heirloom. Ws also have some beautiful bone-china saucers that I recently brought from Japan.
Our table top is fifteen times the diameter of our saucers which are also circular. We would like to place the saucers on the table so that they neither over lap each other nor the edge of the table.
How many can we place in this manner?^
And the number of saucers that can be placed on the table is:
1 + 6+12+18+24+30+36+42+ (3×6) =187.
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