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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CAT Formulas
Applications of Derivatives
Area of a Rectangle Inscribed in a Circle
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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