Beta is one of the extreme continuous distributions limited to (0.1) with two positive parameters both in real domains. This paper proposed a new model of Beta in the circular domain by using the projection methods. The methods start with a distribution on real line, and then apply a stereographic projection on the circumference of the circle. From the stereographic circular model, we determine the characteristic of the distribution through the trigonometric moment of the function, the mean direction and variance circular from the population of the random variable.

Beta, inverse stereographic projection, circular domain, mean.