A rigid uniform annular disc is pivoted on a knife edge A in a uniform gravitational field as shown, such that it can execute small amplitude simple harmonic motion in the plane of the figure without slip at the pivot point. The inner radius 𝑟 and outer radius 𝑅 are such that 𝑟 =𝑅²/2, and the acceleration due to gravity is 𝑔. If the time period of small amplitude simple harmonic motion is given by 𝑇=𝛽𝜋√(𝑅/𝑔), where 𝜋 is the ratio of circumference to diameter of a circle, then 𝛽= ________ (round off to 2 decimal places).