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Points A and B lie on a circle with radi...

Points A and B lie on a circle with radius 1, and arc `oversetfrown(AB)` has length `pi/3`. What fraction of the circumference of the circle is the length of arc `oversetfrown(AB)` ?

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The correct Answer is:
A
The circumference, C, of a circle is C = 2`pi`r, where r is the radius of the circle. For the given circle with a radius of 1, the circumference is C = 2(`pi`)(1), or C = 2`pi`. To find what fraction of the circumference the length of arc AB is, divide the length of the arc by the circumference, which gives `pi/3+2pi`. This division can be represented by `pi/3. 1/(2pi)=1/6`. The fraction `1/6` can also be rewritten as .166 or .167
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