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A real life application problem involving the conic : circle ?

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Daniel O. | Math and Physics Tutor, with a math and physics degreeMath and Physics Tutor, with a math and ...
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A merry-go round, or carousel, or other similar circular carnival ride.

You could use the formula for a circle:

x2 + y= r2

Where r is the radius of the merry go round. For example, if the radius was 5 metres, r = 5. So:

x2 + y2 = 52