2019 · Q74
If the lengths of two parallel chords in a circle of radius 10 cm are 12 cm and 16 cm, then what is the distance between these two chords?
Elementary MathematicsCircles
- A1 cm or 7 cm
- B2 cm or 14 cm
- C3 cm or 21 cm
- D4 cm or 28 cm
Explanation
Distances of the chords from the centre: √(100−36) = 8 cm and √(100−64) = 6 cm. On the same side of the centre the gap is 8−6 = 2 cm; on opposite sides it is 8+6 = 14 cm.