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Question

A chord of a circle, which is twice as long as its radius, is a diameter of the circle.

A
True
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B
False
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Solution

The correct option is A True
Diameter is the largest chord of a circle.
Also, the diameter is a straight line that passes through the centre of the circle.
We know, the distance between the center and any point on the circumference of the circle is the radius of the circle.
Therefore, we can say that length of the diameter is the double the length of the radius.
That is, diameter =2× radius.
Hence, we can say that, a chord of a circle, which is twice as long as its radius, is a diameter of the circle.
Therefore, the statement is true and option A is correct.

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