2 pin DIN was a common speaker connector type, so that makes a bit more sense. You can just cut the plug off though and attach some banana plugs to the now bare-ended cable, or leave it bare-ended for amps that have spring clip speaker terminals.
For a 2 pin DIN, the pin is the positive (red) and the flat connection is the negative (black). You'll normally find that the cable is polarity-marked with a stripe or ridge too.
The general convention is that the marking indicates the wire used for the positive connection. I'd always check though to be sure. A multimeter with a continuity test is useful for this: When cutting the first plug off, don't chop the wire right at the back of the plug. Instead, leave an inch / 3 cm tail of cable attached to the plug. Once you remove a bit of the insulation you'll be able to test which of the two conductors is connected to positive.
You say you like the sound of the speakers. Have you thought about upgrading the speaker cable while you'll be prep'ing them for their new role? If you're looking for a really good way to waste amplifier power, then thin bell wire will do it every single time. It doesn't need to be anything mad or exotic. Basic 1mm square copper speaker cable will preserve 95% on a 6m run per speaker. Something a bit thicker will make it easier to attach banana plugs too. Get access either by removing the back panel (if it unscrews), or by taking off the grille and unscrewing the woofer fixings.