Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let the side of the square be 2 units.
Area square is;
2²
= 4 square units.
Area orange is;
Area triangle with two side 0.70710678119 units and 1.2928932188 units, and angle (90+asin(⅓))° + Area triangle with two side 1.66764761969 units and 1.20710678117 units, and angle 66.436529825°
= 0.5*0.70710678119*1.2928932188sin(90+asn(⅓)) + 0.5*1.66764761969*1.20710678117sin(66.436529825)
= 0.43096440627 + 0.9225889843
= 1.35355339057 space units.
Therefore;
Area Orange ÷ Area Square exactly in decimal is;
1.35355339057 ÷ 4
= 0.33838834764
