This problem asks you to interpret a geometric drawing in order to determine the relationship between the labeled regions. From the given information you can deduce that the diagram is a square with a diagonal and quarter circle arc overlaid. From this information you can calculate the relative size of the regions.
Region A consists of the quarter circle minus the unlabeled triangle. And since we know that the quarter circle is inscribed in a square this makes the formula for region A:

Area A = Area of Quarter Circle - Area of Triangle

Region B consists of the area of the square minus the quarter circle:
Area 8 = Area of Square - Area of Quarter Circle
You now set up the inequality: Area of Quarter Circle - Area of Triangle ? Area of Square - Area of Quarter Circle If we label each side of the square r we can now insert the formulas for the respective areas:


\(\frac{1}{4} \pi r^2-\frac{1}{2} r^2 ? r^2-\frac{1}{4} \pi r^2\)

Solve

\(2 \pi ? 6\)

\(6.28 >6
\)
A is the answer