How i find the best tricky way for solving the question of class 9th of Circles chapter of class 9th give me the best and easy method for this question no.3 of exercise 10.6 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?
AnilSinghBoraGuru
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? Q.3
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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
So, OM = 4 cm
MB = AB/2 = 3 cm
Consider ΔOMB
OB2 = OM2+MB2
Or, OB = 5cm
Now, consider ΔOND,
OB = OD = 5 (since they are the radii)
ND = CD/2 = 4 cm
Now, OD2= ON2+ND2
Or, ON = 3 cm.