Half-Circle Function

Half-Circle Function

Function defined by a relation in the form f(x) = \(\sqrt{{r}^{2} – {x}^{2}}\) or f(x) = − \(\sqrt{{r}^{2} – {x}^{2}}\) where r is the radius of a circle centered on the origin point.

Examples

Here is the graph of the function defined by the relation f(x) = \(\sqrt{{4} – {x}^{2}}\) :

Half-Circle Function

Here is the graph of the function defined by the relation f(x) = − \(\sqrt{{4} – {x}^{2}}\) :

Half-Circle Function-B

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