Mathematics Question and Solution
Calculating Green Area.
a = ½(3+3+2)
a = 4 units.
a is the radius of the ascribed half circle.
b²+x² = 4²
b = √(16-x²) units.
Where x is the radius of the green half circle.
c = ½(3)
c = 1.5 units.
d = 3+1.5-4
d = 0.5 units.
e²+1.5² = x²
e = √(x²-2.25) units.
Calculating x.
b² = d²+e²
16-x² = 0.25+x²-2.25
16+2 = 2x²
2x² = 18
x² = 9
x = 3 units.
Again, x is the radius of the green half circle.
Area Green Half Circle is;
½*π*x²
= ½(9π)
= 4.5π square units.
