Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let the side length of the regular hexagon be 1 unit.
Therefore;
Area green is;
Area triangle with height 1 unit and base ⅓√(3) units.
= ½(⅓√(3)*1)
= √(3)/6 square units.
Area yellow is;
Area triangle with two length 0.40929915222 units and 1 unit, and angle (90-atan(⅓(2√(3))))°
= ½(0.40929915222*1)sin(90-atan(⅓(2√(3))))
= 0.13397459621 square units.
It implies;
Area yellow ÷ Area green in its exact decimal is;
0.13397459621 ÷ (√(3)/6)
= 0.46410161512
