In a triangle PQR , let ∠PQR=30° and the sides PQ and QR have lengths 103and 10, respectively. Then, which of the following statement(s) is (are) FALSE?

(A)cos⁡30∘=PQ2+QR2−PR22PQ⋅QR⇒32=(103)2+102−PR22×103×10⇒PR2=100 or PR=10∴∠P=∠Q=30∘∴(A) is false  (B) Area of △PQR=12PQ×QR×sin⁡30∘=12×103×10×12=253∠R=180∘−30∘−30∘=120∘∴(B) is true  (C) r=Δs=253103+10+102=25310+53=532+3=53(2−3)=103−15∴(C) is true.  (D) R=abc4Δ=103×10×104×253=10∴ area of circumcircle =πR2=100π∴(D) is true