State true or false:

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

True

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False

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cannot be determined

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none of the above

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Solution

The correct option is A True
True,
Let AB be a chord which is twice
as long as its radius. In this situation our chord will be passing through
center of circle. So it will be the diameter of circle.

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Similar questions

A chord of a circle which is twice as long as radius is the __ of the circle.

Write True or False: Give reasons for your answers.

(i) Line segment joining the centre to any point on the circle is a radius of the circle.

(ii) A circle has only finite number of equal chords.

(iii) If a circle is divided into three equal arcs, each is a major arc.

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

(v) Sector is the region between the chord and its corresponding arc.

(vi) A circle is a plane figure.

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