Multiple choice

The length of the chord which is at a distance of 12 cm from the center of the circle of radius 13 cm is :

  1. 5cm

  2. 12cm

  3. 13cm

  4. 10cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In a circle, a perpendicular from the center to a chord bisects the chord. This forms a right triangle with the radius (13) as hypotenuse and the distance (12) as one leg. The half-chord length is sqrt(13^2 - 12^2) = sqrt(169 - 144) = sqrt(25) = 5. The full chord is 2 * 5 = 10 cm.

Keep practicing — related questions