GMAT Math : Circles

Study concepts, example questions & explanations for GMAT Math

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Example Questions

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Example Question #6 : Chords

The arc  of a circle measures  and has length . Give the length of the chord .

Possible Answers:

Correct answer:

Explanation:

The figure referenced is below.

Circle x

The arc is  of the circle, so the circumference of the circle is

.

The radius is this circumference divided by , or

.

 is, consequently, the hypotenuse of an isosceles right triangle with leg length ; by the 45-45-90 Triangle Theorem, its length is  times this, or

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