Geometric Models of Infinite Series

5. In the figure there are infinitely many circles approaching the vertices of an equilateral triangle, eachcircle touching other circles and sides of the triangle. If the triangle has sides of length 1, find thetotal area occupied by the circles.It might help to complete the following table and then look for a pattern.Steph, height of thetriangles, length of the sideof the triangles = 2 3 hr, radius of the A, area of the circlecircler = 3A = π r 26 s1 31 32 6π ⎜ ⎛ 3⎝ ⎠ ⎟⎞26 234