AB and CD are two parallel chords of a circle which are on opposite sides of the center such that AB=24cm and CD=10cm and the distance between AB and CD IS 17cm. Find the radius of the circle.

Given that: AB = 24 cm and CD = 10 cm are two parallel chords and distance between these chords MN = 17 cm.

Let OM = x cm

So, ON = 17 - x cm

Since, perpendicular from the centre of the circle to a chord bisects the chord. So,

,

Similarly,

In, using Pythagoras Theorem

  …… (1)

Similarly,

In, using Pythagoras Theorem

  …… (2)

Since,

(Radius of the circle)

So,

To finding radius of the circle, Substitute value of x in equation (2), we have

Thus, radius of the circle is 13 cm.