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A circular area of grass needs watering. A rotating sprinkler is to be placed at the centre of the circle. Explain how you would locate the centre of the circle. Include a diagram in your explanation

Guest Jan 3, 2018
edited by Guest  Jan 3, 2018
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Draw  any chord  in the circle

 

Construct a perpendicular bisector  to this chord.....the center will lie on this bisector.....so, at both points where the bisector intersects the circle, we have a diameter

 

Construct a perpendicular bisector to this diameter........the center of the circle lies at the point of bisection

 

Here's a proof...with a picture  :  https://mathcs.clarku.edu/~djoyce/java/elements/bookIII/propIII1.html

 

 

 

cool cool cool

CPhill  Jan 3, 2018

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