Question

Two rhombuses have sides with lengths of `2`. If one rhombus has a corner with an angle of `pi/3` and the other has a corner with an angle of `(5pi)/12`, what is the difference between the areas of the rhombuses?

Answer 1

Area of 1st rhombus `A_1= 2xx2xxsin(pi/3)=3.46squnit`
Area of 1st rhombus `A_2= 2xx2xxsin(5pi/12)=3.86squnit`
So difference in area =`3.86-3.46=0.4squnit`