Mathematics Question and Solution
Calculating Orange Area.
Notice, radius of the three congruent circles is 2 units each.
Orange Area is;
Area semi circle with radius 2 units + Area equilateral triangle with side 2 units + 2(area semi circle with radius 2 units) - 3(area sector with radius 2 units and angle 60°)
= ½(2²)π+½(2²sin60)+2(½(2²)π)-3(60π*2²/360)
= 2π+√(3)+4π-2π
= 4π+√(3) square units.
Or
Calculating Orange Area.
Notice, radius of the three congruent circles is 2 units each.
Orange Area is;
Area equilateral triangle with side 2 units + 3(area semi circle with radius 2 units) - 6(area sector with radius 2 units and angle 60°) + 3(area sector with radius 2 units and angle 60°)
= ½(2²)sin60+3(½*2²)π-6(60π*2²/360)+3(60π*2²/360)
= √(3)+6π-4π+2π
= 4π+√(3) square units.
