Not Just Another Sine Integral

Calculus Level 5

In the picture above, the graph of \(|y|\leq \sin(x)\) is super imposed upon the human eye.

Now, assume that the human eye is modeled by the function \( |y|\leq \sin(x)\) where \(x\) is in \(\large{\text{degrees}}\) and \(0\leq x \leq 180\)

Find the area of a human eye to two decimal places.

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