SOLUTION: How many 1/6 inch holes does it take to equal the area of a 1 inch hole

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Question 827214: How many 1/6 inch holes does it take to equal the area of a 1 inch hole
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
The area of one 1/6 inch hole = %28pi%29%281%2F12%29%5E2 = %28pi%29%281%2F144%29
since the radius of the hole is 1/2 of the 1/6 inch diameter
The area of one 1 inch hole = %28pi%29%281%2F2%29%5E2 = %28pi%29%281%2F4%29
since the radius of the hole is 1/2 of the 1 inch diameter
The number of small holes required =
%28pi%29%281%2F4%29+%2F+%28pi%29%281%2F144%29 = %281%2F4%29+%2F%281%2F144%29 = %281%2F4%29+%2A%28144%2F1%29 = 36
We need 36 (1/6) inch holes to have the same area as one 1 inch hole.