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Question

Two arcs AB and CD subtends equal angle at the centre. if the measure of chord AB is 5 cm then the measure of chord CD is ____.

A
7.5 cm
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B
10 cm
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C
5 cm
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D
2.5 cm
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Solution

The correct option is C 5 cm
As the arcs AB and CD subtends equal angle at the centre, so by the theorem, these two arcs are congruent arcs.
So, the chords AB and CD are also conguent. This means that the chords AB and CD are equal in length.
Therefore, length of chord CD is also 5 cm.

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