Question

Radius of circle is 10 cm. There are two chords of length 16 cm each. What will distance of these chords from the centre of the circle? And the answer is 12

Answer 1

You must know that equal chords are equidistant from the centre.

Draw a perpendicular line to one of the chord. You must also be well known that this perpendicular bisects the chord.Half the chord length = 8cm.

From centre draw a line to join the end of the chord.

Hence, a right triangle is formed.

Now use pythagoras theorem.

You will find that the distance is equal  to 6 cm

For both chords adding the distance will give you 12cm as the answer.

Hope this helps you.

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