Length of groove on an LP record

How long is the groove on one side of a long-play (33 1/3 rpm) phonograph record?

Assume there is a single recording and the Outer (beginning) groove is 5.75 inches from the center and the Inner (ending) groove is 1.75 inches from the center. The recording plays for 23 minutes.

Can you find more than one way to calculate (estimate) this length? Compare methods of estimation.

BEANOS, LTD was a shop in London that sold used LP Records ('The Largest Second-Hand Record Store'). The had a monthly newsletter and in the August 2001 issue they discussed the 'Pub Question,'

"How LONG is the average groove on an LP?"

        The business faltered in recent years and eventually closed. Their story is told on a Wikipedia site.

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