Mathematics Question and Solution
Area red is;
3(½(area rectangle with length 10 units and width 5 units - area semi circle with radius 5 units)) + area triangle with height 5 units and base 10 units + area triangle with two equal length 5 units and angle (180-2atan(½))°, the angle they form - area sector with radius 5 units and angle 2atan(½)°
= 3(½(50 - ½(25π))) + ½(50) - ½(25)sin(180-2atan(½)) - (2atan(½))*25π÷360
= 3(25-¼(25π)) + 25 - 10 - 11.591190225
= 16.0951377452 + 15 - 11.591190225
= 19.5039475202 square units.
