Mathematics Question and Solution
sin75 = a/30
a = 28.9777747887 units.
cos75 = b/30
b = 7.7645713531 units
cos75 = c/15
c = 3.8822856765 units.
d = 15-c
d = 11.1177143235 units.
Area Orange is;
Area rectangle with length 28.9777747887 units and width 11.1177143235 units - Area sector with radius 15 units and angle 150° + Area triangle with radius 15 units and angle 150°
= (28.9777747887*11.1177143235)-((150π*15*15)/360)+(0.5*15*15sin150)
= 83.8923105574 square units.
= 83.89 square units to 2 decimal places.
