Identify the theorem and analyse — task. Mathematics State Board, Class 9.

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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

Equal chords of a circle subtend equal angles at the centre.
The perpendicular from the centre of a circle to a chord bisects the chord.
The chords of a circle which are equidistant from the centre are equal.

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

$cm$ .

$1$

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11. Identify the theorem and analyse

Exercise condition: