In a triangle 𝑃𝑄𝑅, let $$\angle PQR=30^\circ$$ and the sides 𝑃𝑄 and 𝑄𝑅 have lengths 10\sqrt{3} and 10,respectively. Then, which of the following statement(s) is (are) TRUE?

A

$$\angle QPR =45^\circ$$

B

The area of the triangle 𝑃𝑄𝑅 is $$25\sqrt{3} and \angle QRP$$ =$$120^\circ$$

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 $$100 \pi$$