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What is the distance between two parallel chords of length 12cm and 15cm in a circle of radius 24cm?
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Hungenahalli Sitaramarao Badarinath
Answered 7 months ago
What is the distance between two parallel chords of length 12cm and 15cm in a circle of radius 24cm?
Radius of the circle, with centre at O = 24 cm.
Length of chord AB = 12 cm. Mid point is E.
Length of chord CD = 15 cm. Mid point is F.
Case 1. When AB and CD are on the same side of O.
OE = [24^2 - 6^2]^0.5 = [30*18}^0.5 = 23.24 cm.
OF = [24^2 - 7.5^2]^0.5 = [31.5*16.5}^0.5 = 22.80 cm.
The distance between the chords Ab and CD = 23.24–22.80 = 0.44 cm
Case 1. When AB and CD are on the opposite sides of O.
OE = [24^2 - 6^2]^0.5 = [30*18}^0.5 = 23.24 cm.
OF = [24^2 - 7.5^2]^0.5 = [31.5*16.5}^0.5 = 22.80 cm.
The distance between the chords AB and CD = 23.24+22.80 = 46.04 cm
