11. Identify the theorem and analyse

1. Tom's teacher asks him to draw a circle with two equal chords. So, he takes up a paper and draws a circle. To draw the chords as directed by the teacher, he measures exactly 3 \(cm\) from the centre on opposite side and draws the chord.

 

The theorem used by Tom in drawing the chords is

 

 

 

In the figure, the length of the diameter \(PS\) is 50 \(cm\) and the length of the equal chords \(PQ\) and \(RS\) is 40 \(cm\). Find the distance between the chords.

 

Answer:

 

The distance between the chords is  \(cm\).