If the radius of the base area of the cone is √ 3 and the surface area of the inscribed sphere is 4 π, then the side area of the cone is?

If the radius of the base area of the cone is √ 3 and the surface area of the inscribed sphere is 4 π, then the side area of the cone is?

First, find the radius of the ball, strictly base the diameter of the circle as the section, the section is a triangle, draw the inscribed circle, make three sides of the vertical line, the center of the circle connects the lower two vertices of the triangle, combined with the trigonometric function to find the generatrix length