Let Alpha be x.
Calculating x;
½(180-atan2)-atan(0.5)
x = ½(90-atan(0.5))
It implies;
tan x exactly is;
= tan(½(90-atan(0.5)))
Calculating Area Orange.
Notice, Area Orange is an isosceles triangle with one of the two congruent sides 1.01857603 units.
It implies;
Area Orange exactly in decimal is;
Area triangle with height 1.01857603 units and base 1.01857603sin(atan2) units.
= ½*1.01857603*1.01857603sin(atan2)
= 0.46398282133 square units.
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