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GRE
GRE Quantitative Reasoning Section

Length of Chord in Circle

Very Hard Geometry Circles

In circle O, the radius is 10 centimeters. A chord AB is drawn such that the distance from the center O to the chord AB is 6 centimeters. What is the length of the chord AB?

Use the formula $$ L = 2 \sqrt{r^2 - d^2} $$ where:

  • $$ L $$ is the length of the chord,
  • $$ r $$ is the radius of the circle,
  • $$ d $$ is the distance from the center of the circle to the chord.

Hint

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