sat suite question viewer
Geometry and Trigonometry
Difficulty: Hard
Points A and B lie on a circle with radius 1, and arc 
has length 
. What fraction of the circumference of the circle is the length of arc ?
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Explanation
The correct answer is 
. The circumference, C, of a circle is 
, where r is the length of the radius of the circle. For the given circle with a radius of 1, the circumference is 
, or 
. To find what fraction of the circumference the length of arc is, divide the length of the arc by the circumference, which gives 
. This division can be represented by 
. Note that 1/6, .1666, .1667, 0.166, and 0.167 are examples of ways to enter a correct answer.