Mathematics Question and Solution
Calculating Area Blue.
a = 4+8
a = 12 cm.
a is the radius of the ascribed quarter circle.
b² = 12²+4²
b = √(144+16)
b = √(160)
b = 4√(10) units.
tanc = 12/4
c = atan(3)°
(12/sin(60+atan(3))) = (4/sind)
d = 14.4420678686°
e = 180-60-atan(3)-d
e = 33.9928809543°
f = 90-e
f = 56.0071190457°
(12/sin(60+atan(3))) = (g/sin33.9928809543)
g = 8.96692386239 cm.
Therefore blue area is;
(0.5*8.96692386239*4√(10)sin60)+(56.0071190457π*12²/360)-(0.5*12²sin56.0071190457)
= 49.1138647086+70.3806214971-59.6957073346
= 59.7987788711 cm²
