Multiple choice

Two chords of length 20 cm and 24 cm are drawn perpendicular to each other in a circle of radius is 15 cm. What is the distance between the Point of intersection of these chords (in cm) from the center of the circle?

  1. √114

  2. √182

  3. √206

  4. √218

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the chords intersect at P. For chord of 20 cm, half is 10. Distance of its midpoint from center = √(15² - 10²) = √125. For chord of 24 cm, half is 12. Distance of its midpoint from center = √(15² - 12²) = √81 = 9. Since chords are perpendicular, distance of P from center = √(125 + 81) = √206.