Two rhombuses have sides with lengths of #8 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #(3pi)/8 #, what is the difference between the areas of the rhombuses?

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Answer 1 · 2017-11-06T14:48:20

#42.564units^2#

#:.cancelpi^1/cancel12^1xxcancel180^15/cancelpi^1=15^@#

#:.(3cancelpi)/cancel8^2xxcancel180^45/cancelpi^1=135^@/2#

#:.135/2=67.5^@#

area of rhombus#=s^2xxsina# , # s=8#

#:.8^2xxsin15^@=16.564units^2#

#:.8^2xxsin67.5^@=59.128units^2#

#:.59.128-16.564=42.564units^2#