2017 · Q81
Two parallel chords of a circle whose diameter is 13 cm are respectively 5 cm and 12 cm in length. If both the chords are on the same side of the diameter, then the distance between these chords is
Elementary MathematicsCircles
- A5.5 cm
- B5 cm
- C3.5 cm
- D3 cm
Explanation
Radius 6.5 cm. Chord distances from center: √(6.5² − 2.5²) = 6 cm and √(6.5² − 6²) = 2.5 cm. Same side ⇒ separation 6 − 2.5 = 3.5 cm: option C.