Question
The distance between two parallel chords of length 12cm
each in a circle of diameter 13cm isSolution
AB = CD = 12cm Radius r = 13/2 cm = 6.5cm In ∆OMB, OB² = OM² + MB² ⇒ r² = OM² + (6)² ⇒ (6.5)² = OM² + (6)² ⇒ OM² = 42.25 – 36 = 6.25 ⇒ OM = 2.5 Distance between parallel lines, MN = 2 × OM = 2 × 2.5 = 5cm
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