Two rhombuses have sides with lengths of #3 #. If one rhombus has a corner with an angle of #(5pi)/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 · 2016-03-31T08:48:16

Difference between the areas#=0.378417" "#square units

The formula for the area of rhombus#=s^2sin theta#

We can use the formula to find the difference in area
#=s^2(sin theta_2-sin theta_1)# because the sides are equal in measurement

Difference #=s^2(sin theta_2-sin theta_1)#

Difference #=3^2[sin ((5pi)/12)-sin ((3pi)/8)]#

Difference #=0.378417" "#square units

God bless....I hope the explanation is useful.