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SAQ: P 6

Part of 2015 Mathematical Talent Reward Programme

Problems(1)

Distance the bigger wheel have to roll so that the points will be togather

Source: MTRP 2015 Class 11-Short Answer Type Question: Problem 6 :-

9/22/2020
In the following figure, the bigger wheel has circumference 1212m and the inscribed wheel has circumference 88 m. P1P_{1} denotes a point on the bigger wheel and P2P_{2} denotes a point on the smaller wheel. Initially P1P_{1} and P2P_{2} coincide as in the figure. Now we roll the wheels on a smooth surface and the smaller wheel also rolls in the bigger wheel smoothly. What distance does the bigger wheel have to roll so that the points will be together again?
algebra