7. Two parallel chords of lengths 80 cm and 18 cm are drawn on the same side of the centre of a circle of radius 41 cm. Find the distance between the chords.
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Step-by-step explanation:
Let the centre of the circle be O. Radius = 41 cm.
Chord AB = 18 cm. Mid point is E.
Chord CD = 80 cm. Mid point is G.
OE = [41^2-(18/2)^2]^0.5 = [(41+9)(41–9)]^0.5 = [50*32]^0.5 = 40 cm.
OG = [41^2-(80/2)^2]^0.5 = [(41+40)(41–40)]^0.5 = [81*1]^0.5 = 9 cm.
Distance between chords = EG = OE-OG = 40–9 = 31 cm.
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