# Perplexing Pizza Crust

**Geometry**Level 5

Let \(L\) be the point where arc \(AC\) intersects the line \(DH\), and \(M\) be the point where the same arc intersects the line \(DI\). Find the area of the pizza crust (the shaded region \(HIML\)) to the nearest integer.

**Details and Assumptions**:

Use the approximation \(\tan ^{ -1 }{ (\frac{1}{2}) } =0.464\).

Use the approximation \(\pi = 3.142\).