Mathematics Question and Solution
tana = 4/8
a = atan(½)°
b = (180-2atan(½))°
It implies;
Area Orange is;
Area triangle with base 8 units and height 4 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 base 4 units and height 4sin(180-2atan(½)) units.
= ½(8*4)-(4*4)+¼(4*4π)-((180-2atan(½))*4*4π/360)+½(4*4sin(180-2atan(½)))
= 16-16+12.5663706144-17.7143794847+6.4
= 12.5663706144-17.7143794847+6.4
= 1.2519911297 square units.
