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Educational worksheet demonstrating the proof that the angle at the centre of a circle is twice the angle at the circumference.

Worksheet titled "Proving Circle Theorems - Angle at the Centre" with diagrams illustrating the relationship between the angle at the centre and the angle at the circumference of a circle, including steps for proof.

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Final Answer:
Triangles OAB and OBC are both isosceles.
Angle AOC = 360 − (x + y + x + y) = 360 − (2x + 2y) = 360 − 2(x + y)
Angle ABC = x + y
Angle AOC = 2(x + y)

Parent Tip: Review the logic above to help your child master the concept of angles in circles worksheet.

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