Question

A circle of diameter $1$ is removed from a $2 \times 3$ rectangle. Which whole number is closest to the area of the shaded region that remains?

$1$

$2$

$3$

$4$

$5$

Difficulty rating: 820

The rectangle has area $6,$ and the removed circle has area $\pi\left(\dfrac12\right)^2 = \dfrac{\pi}{4} \approx 0.79.$

So the shaded region has area $6 - 0.79 \approx 5.2,$ whose closest whole number is $5.$

Thus, the correct answer is E .