Hi All,

First off, a "chord" is defined as a line that connects any two points on the circumference of a circle. The longest chord on any circle is the diameter of the circle, but any two points can form a chord.

To solve this question, try this….For this question, we have a radius of 2. Pick ANY point on the circumference. If you draw a cord with a length of 2 from that point, you can then draw two radii to those two points to form a triangle. What type of triangle has three sides that are all the same length? An equilateral triangle, which has angles of 60/60/60.

Now, from your starting point, draw another cord of length 2 in the OTHER direction. You'll end up repeating the steps above and you'll end up with another 60/60/60 triangle.

Those two central angles: 60 + 60 = 120 degrees. From your original starting point - to every point OUTSIDE of that 120 degrees - will create a cord that is GREATER than 2. So, 240 degrees of the circle will give you the result that you're looking for. 240/360 = 2/3

Final answer:

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Rich

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