MathDB

Area on the Complex Plane

Source:

February 14, 2006

geometryinequalitiessearchfunction

Problem Statement

Consider the region

A

in the complex plane that consists of all points

z

such that both

\frac{z}{40}

and

\frac{40}{\overline{z}}

have real and imaginary parts between

0

and

1

, inclusive. What is the integer that is nearest the area of

A