Multiple choice

Find length of the common chord of two circles, whose centers are 13 cm apart. The radii of two circles are 5 cm and 12 cm respectively.

  1. 5.3 cm

  2. 6.8 cm

  3. 5.4 cm
    1. 2 cm

  5. 10.2 cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The distance from the first center to the common chord is (13^2 + 5^2 - 12^2)/(2 × 13) = 25/13 cm. The chord length is 2sqrt(5^2 - (25/13)^2) = 120/13, approximately 9.2 cm.

Keep practicing — related questions