Mathematics Question and Solution
Calculating Area Circle Green.
Let x be the radius of area circle green.
a²+2² = x²
a = √(x²-4) units.
b = a+x
b = (x+√(x²-4)) units.
Calculating x.
(x+√(x²-4)) ~ 2
8 ~ √(x²-4)
Cross Multiply.
16 = x√(x²-4)+x²-4
(20-x²)² = x²(x²-4)
400-40x²+x⁴ = x⁴-4x²
400 = 36x²
x² = 400/36
x = √(400/36)
x = ⅙(20) units.
x = 3⅓ units.
Again, x is the radius of the green circle.
It implies;
Area green circle is;
πx²
= ⅑(100π) square units.
= 34.9065850399 square units.
