Mathematics Question and Solution
Calculating shaded area.
tana = 5/10
a = atan(½)°
Therefore;
b = atan(2)°
c = 90-2a
c = 90-2atan(½)
c = 36.8698976458°
d = 180-2b
d = 180-2atan(2)
d = 53.1301023542°
Shaded Area is;
Area square with length 10 cm - 2(area triangle with height 10 cm and base 5 cm) - Area sector with radius 10 cm and angle 36.8698976458° - Area sector with radius 5 cm and angle 53.1301023542°.
= 10²-2(½*10*5)-(36.8698976458π*10²/360)-(53.1301023542π*5²/360)
= 100-50-32.1750554396-11.591190225
= 6.2337543354 cm²
