Two rhombuses have sides with lengths of #9 #. If one rhombus has a corner with an angle of #(11pi)/12 # and the other has a corner with an angle of #(pi)/4 #, what is the difference between the areas of the rhombuses?

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Answer 1 · 2017-11-06T12:57:52

#36.312units^2# to the nearest 3 decimal places

#:.(11cancelpi^1)/cancel12^1xxcancel180^15/cancelpi^1=165^@#

#:.(cancelpi^1)/cancel4^1xxcancel180^45/cancelpi^1=45^@#

:.Area of rhombus#=s^2xxsina#

#:.9^2xxsin165^@=20.964units^2#

#:.9^2xxsin45^@=57.276units^2#

:.difference between 2 rhombusses # =57.276-20.964=36.312units^2#