Mathematics Question and Solution
Notice!
Area Yellow is an equilateral triangle with side 2 units.
Therefore, area yellow is;
½*2*2sin60
= √(3) square units.
Calculating red area.
It is;
2(area quarter circle with radius 2 units) - 2(Area sector with radius 2 units and angle 60° - Area triangle with height 2 units and base 2sin60 units) - Area sector with radius 2 units and angle 60°
= 2(¼*2*2π)-2((60π*2*2/360)-(½*2*2sin60))-(60π*2*2/360)
= 2π-2(⅓(2π)-√(3))-(⅓(2π))
= 2π-⅓(4π)+2√(3)-⅓(2π)
= 2π-2π+2√(3)
= 2√(3) square units.
Therefore;
Red Area ÷ Yellow Area is;
= 2√(3)÷√(3)
= 2/1
= 2
