Two rhombuses have sides with lengths of #4 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #(5pi)/6 #, what is the difference between the areas of the rhombuses?

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Answer 1 · 2018-01-08T08:16:07

Difference in areas between the two rhombuses = 3.8589

Let the rhombuses be #R_a, R_b#

Area of #R_a = 4 * 4 sin(pi/12) = 4.1411#

Area of #R_b = 4 * 4 sin ((5pi)/6) = 8#

Difference in area #R_d = R_b - R_a = 8 - 4.1411 = 3.8589#