Question

In a circle a chord 1 cm away from the centre is 6 cm long what is length of a chord 2 cm away from the centre ?​

Answer 1

Answer :

If it is 1 cm away the length of the chord is 6 cm therefore if it is 2 cm away then the length will be decreased by half hence the answer is 3 cm.

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Answer 2

Step-by-step explanation:

The first chord is 1 cm away from the centre and 6cm long, so drawing in a radius creates a right-angled triangle with sides 1 and 3 and tells us by Pythagoras that the radius must be √10cm

Now we do the same thing for the second chord. This time, it’s the chord length that’s unknown, but the radius is the same. By Pythagoras again, the length of half the chord is √10−4, so the whole chord has a length of 2√6cm