Mathematics Question and Solution
Calculating Area Square ÷ Area Enclosed S
Let the side of the square be 2 units.
Therefore;
Area square is;
2²
= 4 square units.
Area S is;
Area triangle with two side 0.98921899145 units and 1.02554900641 units, and angle 14.318078177° - Area sector with radius 2 units and angle 28.6361563539° + Area triangle with two side 2 units each, and angle 28.6361563539°
= (0.5*0.98921899145*1.02554900641sin14.318078177) - (28.6361563539*2²π÷360) + (0.5*2²sin28.6361563539)
= 0.12544441261 - 0.99959042698 + 0.95849162297
= 0.0843456086 square units.
It implies;
Area Square ÷ Area Enclosed S to 1 d. p. is;
4 ÷ 0.0843456086
= 47.4239271776
≈ 47.4
