Mathematics Question and Solution
Let the single side length of the ascribed square be 2 units.
Calculating yellow area .
It is;
Area sector with radius 2 units and angle (90-2tan–¹(½))°).
= (90-2tan–¹(½))x4π÷360
= 1.28700221759 square units.
Calculating red area.
Area isosceles triangle with two equal lengths 1 unit each and angle (2tan–¹(2))°).
=0.5sin(2tan–¹(2))
= 0.4 square units.
Therefore;
Area red ÷ Area yellow is;
0.4 ÷ 1.28700221759
= 0.31079977527
