In the circle above, the length of arc AB is 3π. If the circle has an area of 16π, what is the measure of central angle AOB?

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<br><img alt='Image' src='https://www.fatskills.com/images3/gre/unfig13_90.jpg'><br>In the circle above, the length of arc <em>AB</em> is 3π. If the circle has an area of 16π, what is the measure of central angle <em>AOB</em>?