You are given a circle drawn on a sheet of paper

MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

You are given a circle drawn on a sheet of paper, but its centre is not marked. (i) Describe, step by step, how you would locate the centre of the circle using only a ruler and a compass. (ii) Explain why the method you have described is always successful, referring to the properties of chords of a circle.

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