Multiple choice

Two concentric circles are drawn with radii 20 cm and 16 cm. What will be the length of a chord of the larger circle which is tangent to the smaller circle?

  1. 34 cm

  2. 24 cm

  3. 48 cm

  4. 12 cm

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

For two concentric circles with radii R = 20 cm (larger) and r = 16 cm (smaller), a chord of the larger circle tangent to the smaller circle will be perpendicular to the radius at the point of tangency. Using the Pythagorean theorem: half the chord length = √(R² - r²) = √(400 - 256) = √144 = 12 cm. Therefore, full chord length = 2 × 12 = 24 cm (option B).