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Two arcs of a circle are congruent, the ratio of their corresponding chords is ______. - Mathematics

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Question

Two arcs of a circle are congruent, the ratio of their corresponding chords is ______.

Options

  • 1 : 1

  • 1 : 2

  • 1 : 3

  • 1 : 4

MCQ
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Solution

Two arcs of a circle are congruent, the ratio of their corresponding chords is 1 : 1.

Explanation:

Congruent (equal) arcs subtend equal central angles; equal central angles in the same circle cut off equal chords.

Therefore, the corresponding chords are equal, so the ratio is 1 : 1.

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Chapter 14: Circles - Exercise 14C [Page 279]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 14 Circles
Exercise 14C | Q 4. | Page 279
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