How to determine whether a point (X,Y) is contained within an arc section of a circle (i.e. a Pie slice)?

Question

Imagine a circle. Imagine a pie. Imagine trying to return a bool that determines whether the provided parameters of X, Y are contained within one of those pie pieces.

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Answer 1

Convert X,Y to polar coordinates using this:

Angle = arctan(y/x); Radius = sqrt(x * x + y * y);

Then Angle must be between StartingAngle and EndingAngle, and Radius between 0 and your Radius.