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20/07/2021 4:04 pm
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The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller chord is at a distance 4 cm from the centre, what is the distance of the other chord from the centre?
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20/07/2021 4:06 pm
Consider the following diagram
Here AB and CD are 2 parallel chords. Now, join OB and OD.
Distance of smaller chord AB from the centre of the circle = 4 cm
OM = 4 cm
MB = AB/2 = 3 cm
Consider ΔOMB
OB2 = OM2 + MB2
OB = 5cm
Now, consider ΔOND,
OB = OD = 5 (since they are the radii)
ND = CD/2 = 4 cm
Now, OD2 = ON2 + ND2
ON = 3 cm.