Mathematics Question and Solution
Shaded area is;
Area triangle with height 4√(3) cm and base 8 cm + 2(area sector with radius 8 cm and angle 60° - area triangle with height 4√(3) cm and base 8 cm) - Area circle with radius 2 cm - 2(area sector with radius 4 cm and angle 60°) - 2(area sector with radius 4 cm and angle 60° + area triangle with height 2√(3) cm and base 4 cm).
= 16√(3) + 2(⅓(32π)-16√(3)) - 4π - 2(⅓(8π)) - 2(⅓(8π)+4√(3))
= 16√(3) + ⅓(64π) - 32√(3) - 4π - ⅓(16π) - ⅓(16π) + 8√(3)
= ⅓(32π)-4π-8√(3)
= ⅓(20π) - 8√(3)
= ⅓(20π-24√(3)) cm²
= 4(5π-6√(3))/3 cm²
