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The circumference, C, of a circle is C=2πr, where r is the radius of the circle. For the given circle with a radius of 1, the circumference is C=2(π)(1), or C=2π.
To find what fraction of the circumference the length of AB is, divide the length of the arc by the circumference, which gives
π/3 ÷ 2π. This division can be represented by
π/3 * 1/2π = 1/6
The fraction 1/6 can also be rewritten as 0.166 or 0.167.
The final answer is
1/6, 0.166, or 0.167.
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