Mathematics Question and Solution
Let a be the radius of the circle.
b = 2a units.
b is the diameter of the circle.
Calculating a observing similar plane shape (right-angled triangle) ratios.
It implies;
2a - 5
9 - a
Cross Multiply.
2a² = 45
a = √(45/2)
a = 3√(5)/√(2)
a = ½(3√(10)) units.
a = 4.7434164903 units.
Again, a is the radius of the circle.
Calculating the side length of the inscribed yellow square.
Let it be c.
2a² = c²
c² = 2(½(3√(10)))²
c² = ½(90)
c = √(45)
c = 3√(5) units.
c = 6.7082039325 units.
