there 30 60 90 triangle inscribed circle given angle 60 and length ht longer

There is a 30-60-90 triangle inscribed in a circle. The given angle is 60 and the length of HT (longer leg) is 8 square root 3. The diameter is RH and the shorter leg is RT. We have to find the shaded region which is next to RT and TH.
 
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