Mathematics Question and Solution
Calculating Area Red.
tana = 12/6
a = atan(2)°
b = 90-a
b = atan(½)°
c = 180-2a
c = 2atan(½)°
Red area is;
Area square with side 12 cm - Are ma quarter circle with radius 12 cm - 2(area triangle with height 6 cm and base 12 cm) + Area sector with radius 12 cm and angle 2atan(½)° - Area sector with radius 6 cm and answer 2atan(½)°
= 12²-¼(12²π)-2(½*6*12)+(2atan(½)π*12²/360)-(2atan(½)π*12²/360)
= 144-113.097335529-72+66.7652556961-16.691313924
= 8.9766062431 square units.
