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Points A and B lie on a circle with radius 1, and arc AB has length π3. What fraction of the circumference of the circle is the length of arc AB ?

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The correct Answer is:A


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 arc AB is, divide the length of the arc by the circumference, which gives π3+2π. This division can be represented by π3.12π=16. The fraction 16 can also be rewritten as .166 or .167

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