Mathematics Question and Solution
Calculating Area Green.
a = ½(5)
a = 2.5 units.
a is the radius of the inscribed white quarter circle.
b = 180-2atan(2.5/5)
b = (180-2atan(½))°
Area Green is;
Area square with side 5 units - Area quarter circle with radius 2.5 units - Area triangle with height 5 units and base 2.5 units - Area sector with radius 2.5 units and angle (180-2atan(½))° + Area triangle with height 2.5 units and base 2.5(180-2atan(½)) units.
5²-¼(2.5²)π-½(5*2.5)-((180-2atan(½))π*2.5²/360)+½(2.5²sin(180-2atan(½))).
= 25-1.5625π-6.25-2.20260238968π+2.5
= 25-4.90873852123-6.25-6.9196794862+2.5
= 9.42158199257 square units.
