In a triangle PQR , let $\angle \mathrm{PQR}=30^{\circ}$ and the sides PQ and QR have lengths $10 \sqrt{3}$ and 10 , respectively. Then, which of the following statement(s) is (are) TRUE ?
Select ALL correct options:
A
(A) $\angle \mathrm{QPR}=45^{\circ}$
B
The area of the triangle PQR is $25 \sqrt{3}$ and $\angle \mathrm{QRP}=120^{\circ}$
C
The radius of the incircle of the triangle PQR is $10 \sqrt{3}-15$
D
The area of the circumcircle of the triangle PQR is $100 \pi$
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