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verify that the ratio of the circumference of a circle to its diameter is a constant number 3.14 by using different circular object such as bangles coins
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Solution
If R, Q and P are the midpoints of AB, AC and BC, and by applying the theorem:-
The line segment joining the midpoints of two side of a triangle is parallel to the third side and equal to half of it, we get
PQ=21AB=AR and PQ∣∣AR
PQ=21AC=AQ and PR∣∣AQ
Since the above conditions are sufficient for a parallelogram, therefore ARPQ is a parallelogram.
∴ Perimeter of ARPQ=2(AR+AQ)=AB+AC=(30+21)cm=51cm
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