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In a \( \triangle P Q R \), let \( \angle P Q R=30^{\circ} \) and the sides \( P Q \) and \( Q R \) have lengths \( 10 \sqrt{3} \) and 10 , respectively. Then, which
P of the following statement(s) is (are) TRUE? (2018 Adv)

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(a) \( \angle Q P R=45^{\circ} \)
(b) The area of the \( \triangle P Q R \) is \( 25 \sqrt{3} \) and \( \angle Q R P=120^{\circ} \)
(c) The radius of the incircle of the \( \triangle P Q R \) is \( 10 \sqrt{3}-15 \)
(d) The area of the circumcircle of the \( \triangle P Q R \) is \( 100 \pi \)
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