Chapter 1 - Tools of Geometry - 1-8 Perimeter, Circumference, and Area - Practice and Problem-Solving Exercises - Page 65: 24

$\frac{9}{64}\pi\ in^2$

To find the area of a circle, we use the formula $A=\pi r^2$ The circle shown has a diameter of $\frac{3}{4}$ in, so its radius is half of that, or $\frac{3}{8}$ in. We plug this value into the formula and simplify: $A=\pi (\frac{3}{8})^2=\pi\times\frac{9}{64}=\frac{9}{64}\pi\ in^2$