Multiple choice

Two concentric circle are drawn with radii 12 cm and 13 cm. What will be the length of any chord of the larger circle that is tangent to the smaller circle?

  1. 5cm

  2. 8cm

  3. 10 cm

  4. 25cm

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

For a chord tangent to the smaller circle, the distance from the center to the chord equals the smaller radius (12 cm). Using the chord length formula: L = 2√(R² - d²) where R=13, d=12. This gives L = 2√(169-144) = 2√25 = 10 cm. The chord forms a right triangle with the radii.