GRE Sample Test 1 Quantitative Reasoning 2

Draw the figure. You have a square with a circle inside of it that has a radius of 6.
Therefore, the length of one side of the square is 12. Quantity A asks for the area of the largest triangle that can be drawn inside the square. The largest triangle cuts the square in half diagonally (subsequently creating a 45:45:90 triangle) and has a height and base of length 12. So the area of the triangle is $\frac{1}{2}$ (12)(12) = 72. Quantity B is asking for the area of the circle with center R. So the area of the circle is 62π, or 36π. π is approximately 3, so you know that 36 times 3 is greater than 72. Quantity B is greater.