MathDB

Archimedes drew a square with side length

36

cm into the sand and he also drew a circle of radius

36

cm around each vertex of the square. If the total area of the grey parts is

n \cdot \pi

^2

, what is the value of

n

? Do not disturb my circles! https://cdn.artofproblemsolving.com/attachments/e/7/a755007990625c74fc2e59b999f0a3eddb2371.png

Problem Statement