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](https://media.scolab.com/Illustrations/Lexique/v5%20-%201/half_circle_function_top.svg)
Here is the graph of the function defined by the relation f(x) = − \(\sqrt{{4} – {x}^{2}}\) :
![Half-Circle Function-B](https://media.scolab.com/Illustrations/Lexique/v5%20-%201/half_circle_function_bottom.svg)