Question 827214
The area of one 1/6 inch hole = {{{(pi)(1/12)^2}}} = {{{(pi)(1/144)}}}
since the radius of the hole is 1/2 of the 1/6 inch diameter

The area of one 1 inch hole = {{{(pi)(1/2)^2}}} = {{{(pi)(1/4)}}}
since the radius of the hole is 1/2 of the 1 inch diameter

The number of small holes required =
{{{(pi)(1/4) / (pi)(1/144)}}} = {{{(1/4) /(1/144)}}} = {{{(1/4) *(144/1)}}} = {{{36}}}
We need 36   (1/6) inch holes to have the same area as one 1 inch hole.