Mathematics Question and Solution
Calculating Shaded/Green Area.
Shaded/green area is;
Area semi circle of radius 9 units - 2(area sector of radius 9 units and angle 60°) + area equilateral triangle of single side length 9 units - area sector of radius 9 units and angle 50° - area quarter circle of radius 9 units + 2(area sector of radius 9 units and angle 60°) - area equilateral triangle of single side length 9 units.
= ½(81π) - ⅓(81π) + ¼(81√(3)) - ¼(45π) - ¼(81π) + ⅓(81π) - ¼(81√(3))
= ½(81π) - ¼(45π) - ¼(81π)
= ¼(162π - 45π - 81π)
= ¼(162π - 126π)
= ¼(36π)
= 9π square units.
