Mathematics Question and Solution
Calculating R, radius of the circle.
Notice.
3 units is the side length of the inscribed yellow square.
2 units is the side length of the inscribed red square.
1 unit is the side length of the inscribed blue square.
And;
Length BT = Length BC.
Therefore;
a² = 2(3)²
a = 3√(2) units.
a is BC.
b² = 2(1.5)²
b = 1.5√(2) units.
b is OB.
It implies:
R² = a²+b²
R² = (3√(2))²+(1.5√(2))²
R² =18+4.5
R = √(22.5)
R = ½(3√(10)) units.
R = 4.74341649025 units.
