# Sliding -Stick Problem

Geometry Level 2

In the figure shown, a red stick is sliding smoothly against a wall along the floor.

(You can assume this to be the X-Y Axis as shown in the figure)

It travels from a vertical position to a horizontal position.

If the length of the stick is 2 meters, what is the locus of the blue dot which you see at the center of the stick?

Express this locus as an equation in $$x$$ and $$y$$.

What is the area under this locus?

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