In a circle of radius 17 cm, two parallel chords measure 16 cm and 30 cm. They lie on opposite sides of the centre. What is the distance between the chords?

Explanation

1. 01

   Distance of the 16 cm chord from the centre = $\sqrt{17^2 - 8^2} = 15$ cm.

2. 02

   Distance of the 30 cm chord from the centre = $\sqrt{17^2 - 15^2} = 8$ cm.

3. 03

   On opposite sides of the centre the distances add: $15 + 8 = 23$ cm.