My Honda 300ex battery is reading 11.49 volts. Is this enough to start the bike?

Ok, so I have a 2001 Honda 300ex ATV and my bike recently started making a noise when I hit the starter button. Its not a clicking noise it's more like a whine. Like there's not enough charge in the battery. I thought it may have been the starter so I swapped the starter out. Its still making the same noise. Like it wants to start but doesn't have enough power. So, I put my multi-meter on the battery and it's reading 11.49 volts. This should still be enough to still start the bike or should I charge the battery to it's full 12 volt charge?

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