Area of a Rectangle Inscribed in a Circle

Rarely Tested

Area of a Rectangle Inscribed in a Circle

For a rectangle with half-sides $$x$$ and $$y$$ inscribed in a circle of radius $$r$$:

$$x^2+y^2=R^2$$

and its area is:

$$A=4xy$$

Usage

- Used to maximize the area of an inscribed rectangle.

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