Mathematics Question and Solution
Calculating Blue Area.
Area blue is;
Area sector with radius 10 cm and angle 2atan(½) - Area triangle with height 10 cm and base 10sin(2atan(½)) cm + Area sector with radius 5 cm and angle 2atan(2) - Area triangle with height 5 cm and base 5sin(2atan(2)) cm - 2(area quarter circle with radius 5 cm - area triangle with height 5 cm and base 5 cm).
= (2atan(½)*100π÷360) - (½*100sin(2atan(½))) + (2atan(2)*25π÷360) - (½*25sin(2atan(2))) - 2((¼*25π)-(½*25))
= 46.3647609001 - 40 + 27.6787179449 - 10 - 2(19.6349540849-12.5)
= 6.3647609001 + 17.6787179449 - 14.2699081698
= 9.7735706752 cm²
