PLT OF A BEECH A33 BONANZA WAS NOT SURE IF HE HAD LNDG CLRNC AFTER FOLLOWING WHAT HE HEARD AS LNDG INSTRUCTIONS; EVEN THOUGH HE NOTICED A CESSNA DO A 360 OUTSIDE OF HIS FINAL APCH. SINCE ATC DID NOT ASK HIM TO CALL THE TWR; AND OTHER FELLOW PLTS DID NOT HEAR ANY PROBS DURING HIS APCH AND LNDG; HE CONCLUDED THAT THERE MUST NOT HAVE BEEN A PROB.

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THERE WERE MANY ACFT ON APCH AND IN PATTERN. WE RPTED 12 MI FROM N AND WERE INSTRUCTED TO ENTER AND RPT 1 MI BASE FOR RWY 25R AT LIVERMORE ARPT. WE ALSO REQUESTED THE L RWY AND WERE TOLD THEY WOULD COORDINATE THAT BUT TO CONTINUE IN FOR BASE ENTRY FOR THE R. WE RPTED 1 1/2 MI R BASE FOR THE R RWY. AT THAT POINT WE WERE CLRED #1 FOR THE R. THE NEXT EVENT I REMEMBER IS THAT WE WERE ASKED IF WE COULD FLY TO THE NUMBERS ON THE L RWY. I REPLIED YES; AND HEARD NO FURTHER XMISSION. THERE WERE SPLIT FREQS FOR THE RWYS. AT THAT POINT I WAS TOO FAR TO TURN FINAL FOR THE R RWY. I CHANGED FREQS TO THE L AND LANDED. AS I TURNED TO THE NUMBERS ON THE L; I NOTICED A CESSNA MAKING A 360 DEG APPROX 2 MI FINAL. I DO NOT KNOW IF I SHOULD HAVE LANDED ON THE R AND NOT FLOWN TO THE NUMBERS ON THE L. AFTER LNDG AND TALKING TO GND; NO ONE MENTIONED A PROB WITH WHAT I DID. I DO NOT KNOW IF I CUT OFF THE CESSNA OR THE TWR TOLD THEM TO DO A 360 DEG TURN TO ALLOW TIME FOR ME TO LAND. THE FREQ WAS BUSY AND I DID NOT TALK TO THE TWR FOR THE L RWY. I SPOKE TO A FELLOW PLT WHO WAS IN THE PATTERN AND HE SAID HE DID NOT HEAR ANYTHING UNUSUAL. THIS WAS NOT AN INCIDENT; BUT FELT I SHOULD RPT IT. I WAS TOO CLOSE IN TO HAVE MANY OPTIONS. I TOOK WHAT I THOUGHT WAS THE SAFEST. LIVERMORE DOES A GOOD JOB WITH THE AMOUNT OF TFC THEY HAVE. SOMETIMES THE RADIOS ARE SO BUSY; IT IS DIFFICULT TO COMMUNICATE CLOSE IN.