# Christmas Tree Farm

**Geometry**Level 5

What is the area of the property inside the \(2000\pi\) meter circular perimeter?

If \(A\) is the area in square meters, find \(\left\lfloor \dfrac { A }{ 1000 } \right\rfloor \)

Note: The Gaussian curvature everywhere on the property inside the \(2000\pi\) meter circular perimeter is \(0\), with the allowed exception of a single point. (This means that any patch of the property, which does not include that single point, can be "laid flat", i.e. every point on the surface is locally like a cylinder, where \(K=0\). This is not true for spheres, where \(K > 0\), or saddles, where \(K < 0\).)

There are no lakes, sinkholes, etc.

Only elementary math is needed to solve this one, no calculus nor differential geometry is needed here.

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