The area of the circle can be found, using \(\pi r^2\)
Since \(\frac{3}{4}\) is the diameter, then the radius should be \(\frac{1}{2}*\frac{3}{4}=\frac{3}{8}\)
Plugging the value into the formula, we have: \(\pi\frac{3}{8}^2=3.14*\frac{9}{64}\)
But, since the answer box wants the fraction, we get: \(\boxed{\frac{9}{64}}\)