6 is in the ten thousand place
https://socratic.org/questions/how-do-you-find-the-area-of-the-region-bounded-by-the-polar-curves-r-3-2cos-thet#112305
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We know that:

Substituting known values, we have:

sin α = opposite leg/ hypotenuse
For ΔABC,
sin A = |BC|/|AB|
sin A = 12/37