Circles

SAT Math· difficulty 4/5

Two chords of a circle intersect inside the circle. One chord is divided into segments of length 3 and 8, while the other is divided into segments of length 4 and xx. What is xx?

  • A

    5

  • B

    6

    check_circle
  • C

    24

  • D

    12

Explanation

The product of the segments of one chord equals the product of the segments of the other: 3cdot8=4cdotx3 \\cdot 8 = 4 \\cdot x, so x=6x = 6.

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