You will need a cut-out paper circle (about 12cm diameter).
- Use a circle that does not show the centre.
- Fold your circle along a diameter. Mark the ends A and B.
- Now unfold your circle and then fold again along a different diameter and mark the ends C and D. Also mark the point where AB and CD intersect as O. Why is this the centre?
- Is there another way of finding the centre?
You will need a cut-out paper circle with centre O marked (about 12cm diameter).
- Fold over a segment of the circle to make a chord. Mark the ends A and B.
- Fold the circle so that A and B come together. Unfold and mark the points where this line cuts the circle as C and D.
- If AB and CD intersect at P, what do you know about AP and PB? What about angle CPA?
- How is CD related to AB?
- Is CD a diameter of the circle?
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