Mathematics Question and Solution
Calculating Area Inscribed yellow Circle.
Let x be the area of the ascribed circle.
a*12 = 5*9
a = (45/12)
a = ¼(15) units.
a = 3.75 units.
b = ½(a+12)
b = ½(15.75)
b = 7.875 units.
c = 12-b
c = 12-7.875
c = 4.125 units.
d = ½(5+9)
d = 7 units.
It implies;
e² = 7²+4.125²
e = √(66.015625)
e = 8.125 units.
e is the radius of the ascribed circle.
Calculating x.
f = e-2x
f = (8.125-2x) units.
It implies;
8.125² = (8.125-2x)²+7²
66.015625 = 66.015625-32.5x+4x²+49
4x²-32.5x+49 = 0
Therefore;
x ≠ 6.125 units.
x = 2 units.
Area inscribed yellow circle is;
πx²
= π(2)²
= 4π square units.
