The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller chord is at a distance of 4 cm from the centre, what is the distance of other chord from the centre? -Maths 9th

The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller chord is at a distance of 4 cm from the centre, what is the distance of other chord from the centre? -Maths 9th
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1 Answer

Answer :

There are two parallel chords of length 8 cm and 6 cm.  The distance between center and shortest chord (6cm chord) is 4cm.  So, the perpendicular distance from the center to the shortest chord is 4cm.  The perpendicular line from center to chord divides chord into two equal  parts. So, the radius of circle is 32+42​=5. Since the radius is 5. The distance from center to largest chord is 52−42​=3.
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Description : In the given figure, O is the centre of the circle, then compare the chords. -Maths 9th

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