Circles

SAT Math· difficulty 4/5

A chord of length 24 is in a circle of radius 13. What is the distance from the center of the circle to the chord?

  • A

    5

    check_circle
  • B

    145\sqrt{145}

  • C

    313\sqrt{313}

  • D

    12

Explanation

The perpendicular from the center bisects the chord into segments of 12. The distance dd satisfies d2+122=132d^2 + 12^2 = 13^2, so d2=25d^2 = 25, giving d=5d = 5.

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