[justify][i]A.      [/i][i]Create a formula to calculate the sum of the areas  [math]F_1, F_2, F_3[/math][/i]  of[i] the [/i][i]arbeloses, which are constructed externally on the sides of the equilateral triangle, if the tangential points of the two small semicircles of each arbelos are the medium points of the triangle sides. Post GeoGebra construction.[/i][/justify][justify][i]B.      [/i][i]Post GeoGebra construction, which is a generalisation of the problem in the condition A. Bring a new formula for calculating the sum of the areas of arbeloses constructed externally on the sides of a triangle.[/i][/justify]

[justify][i]If on the sides of the equilateral triangle are built arbeloses and the tangential points of the two small semicircles of each arbelos are the medium points of the triangle sides, then the formula for calculating the sum of areas of the arbeloses is[br] [/i][i][math]F=F_1+F_2+F_3=\frac{3\pi}{2}\left(R^2-2r^2\right),[/math][br]where [math]R[/math] is the radius of the biggest semicircle and [math]r[/math]is the radius of the small semicircles of each arbelos.[/i][/justify]