TIFR ECE 2020 | Question: 6

Question

For all values of $r>0$, the area of the set of all points outside the unit square whose Euclidean distance to the unit square is less than $r$ is:

• A. $=\pi r^{2}+4 r$
• B. $<4 \pi r^{2}$
• C. $>4 \pi r^{3}+4 r$
• D. $=\frac{4 \pi r^{3}}{3}+6 r+2 \pi r^{2}$
• E. None of the above