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Question

An equilateral triangle ABC is inscribed in a circle with centre O. Then, BOC is equal to ___.


A
30
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B
60
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C
90
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D
120
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Solution

The correct option is D 120

Given that ΔABC is equilateral.
BAC=60
Since the angle subtended by a chord at the centre of a circle is twice the angle subtended by the same chord at any other point on the remaining part of the circle, we have
BOC=2 BAC=2×60=120.


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