Question

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 the other chord from the centre?

Answer 1

Let AB and CD be two parallel chord of the circle with centre O such that AB = 6 cm, CD = 8 cm and OP = 4 cm. let the radius of the circle be cm.

According to the question, we have to find OQ

Draw and as well as point O, Q, and P are collinear.

Let

Join OA and OC, then

OA = OC = r

Now and

So, AP = 3 cm and CQ = 4 cm

In we have

And in