Mathematics Question and Solution
Notice!
The composite plane shape consist of two half circles with equal diameter, 10 units each.
Radius = 5 units each.
Calculating shaded area.
a = 180-2*30
a = 120°
Shaded Area is;
Area semi circle with radius 5 units - Area sector with radius 5 units and angle 120° + Area triangle with height 5 units and base 5sin120 units + Area sector with radius 10 units and angle 30° - Area triangle with height 5 units and base 5sin120 units - Area sector with radius 5 units and angle 60°
= ½(25π)-⅓(25π)+¼(25√(3))+(100π/12)-¼(25√(3))-⅙(25π)
= (150π-100π+100π-50π)/12
= 100π/12
= ⅓(25π) square units.
