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The angle at the centre of a circle is twice the angle on the circle subtended by the same arc.

The angle at the centre of a circle is twice the angle on the circle subtended by the same arc.

On the left, the angle at the centre of a circle is twice the angle on the circle subtended by the same arc. on the right, shows by comparing the arc is different for the less than 180 angle, a common misconception among students. the visualisation allows a direct comparison of the correct concept with the common error.