In the given figure- what is the value of x- 5 cm6 cm4 cm10 cm

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Standard VIII

Mathematics

The Chords Corresponding to Congruent Arcs Are Congruent

In the given ...

Question

In the given figure, what is the value of $x$ ?

5 cm

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6 cm

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4 cm

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10 cm

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Solution

The correct option is A 5 cm
In the figure, we are given chords PQ and RS that subtend equal angles at the centre.
i.e., $∠ P O Q = ∠ R O S$
We know that if the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.
$⟹ P Q = R S$
$⟹ x = 5 cm$

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In the given figure, what is the value of x?

The correct option is A 5 cmIn the figure, we are given chords PQ and RS that subtend equal angles at the centre. i.e., ∠POQ=∠ROS We know that if the angles subtended by the chords of a circle at the centre are equal, then the chords are equal. ⟹PQ=RS ⟹x=5 cm

In the given figure, what is the value of $x$ ?

The correct option is A 5 cm
In the figure, we are given chords PQ and RS that subtend equal angles at the centre.
i.e., $∠ P O Q = ∠ R O S$
We know that if the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.
$⟹ P Q = R S$
$⟹ x = 5 cm$