Mathematics Question and Solution
Let the side length of the regular pentagon be 2 units.
(CF)² = 5-4cos108
CF = 2.49721204096 units.
CF is the side length of the blue regular triangle and radius of the sector CGF.
Area Blue is;
0.5*2.49721204096*2.49721204096sin60
= 2.70029664413 square units.
Area Green is;
(⅙*2.49721204096*2.49721204096π)- Area Blue
= 3.26519755757-2.70029664413
= 0.56490091344 square units.
Blue Area ÷ Green Area is;
2.70029664413÷0.56490091344
= 4.78012440746
