We introduce VennFan, a method for generating $n$-set Venn diagrams based on the polar coordinate projection of trigonometric boundaries, resulting in Venn diagrams that resemble a set of fan blades. Unlike most classical constructions, our method emphasizes readability and customizability by using shaped sinusoids and amplitude scaling. We describe both sine- and cosine-based variants of VennFan and propose an automatic label placement heuristic tailored to these fan-like layouts. VennFan is available as a Python package (https://pypi.org/project/vennfan/).