Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let the single side length of the square be 2 units.
Therefore;
Area Square is;
2 x 2 = 4 square units.
Area Blue is;
Area sector with radius 1 unit and angle 63.434948823° - Area triangle with two length 1 unit and sin(atan(½)) units, and angle 63.434948823°, the angle they form.
= (63.434948823π/360) - (½(sin(atan(½)))sin63.434948823)
=0.5535743589 - 0.2
= 0.3535743589
= (35/99) square units.
Area Blue ÷ Area Square is;
0.3535743589÷4
= 0.08839358973
Or
(35/99)÷ 4
= 35/396.
= 0.08838383838
