Mathematics Question and Solution
Purple area is;
Area triangle with height 4 units and base 8 units - (area square with side 4 units - area quarter circle with radius 4 units) - area sector with radius 4 units and angle (180-2atan(½))° + area triangle with two side 4 units each, and angle (180-2atan(½))°.
= ½(4*8) - (4²-¼(4²π)) - (180-2atan(½))*4²π÷360 + ½(4²)sin(180-2atan(½))
= 16 -16 + 4π - 17.7143794847 + 6.4
= 4π - 11.314379485
= 1.25199112936 square units.
