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A circle is the locus of points that are equidistant from a fixed point. As a result, all radii of the circle must be of the same length.

A diameter is a straight line that goes from the circumference to the centre and on to the circumference on the other side. Thus it is a radius from the circumference to the centre and then another radius from the centre to the circumference. And since these are the same, it is 2 radii in length.

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