Question 1210153
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If O is the center of the sphere, then OA, OB and AB all have length 2, so triangle AOB is equilateral; its angles are each 60 degrees.<br>
The angle subtended by minor arc AB is then 60 degrees, which is 1/6 of a circle.  The length of minor arc AB is then 1/6 of the circumference of a circle with radius 2.<br>
{{{(1/6)(2pi)(2)=4pi/6=(2/3)pi}}}<br>
ANSWER: {{{(2/3)pi}}}<br>