Betsy is drawing with a mechanical pencil. She ends up drawing the closed figure shown above. All units are in **inches**.

This figure is given by the formula **sin(x)** from **0 to 2\(\pi \)**. Betsy desides to shade in the parts that are shaded in on the graph. She then decides to trace the outer ends of the figure with a thickness of **1/50** of an inch without lifting her pencil.

She uses ** 1** piece of graphite after drawing

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