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Investigation: Discovering Pi in Everyday Objects.1. State the purpose of the investigation: to experimentally determine the value of piusing a method of approximation.

Question

Investigation: Discovering Pi in Everyday Objects.1. State the purpose of the investigation: to experimentally determine the value of piusing a method of approximation.

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Solution

The purpose of this investigation is to experimentally determine the value of pi using a method of approximation. This will be achieved by measuring the circumference and diameter of various everyday objects, and then dividing the circumference by the diameter to get an approximate value for pi.

Here are the steps to follow:

  1. Select a variety of circular objects: These can be anything from a coffee mug to a bicycle wheel. The more varied the sizes, the better.

  2. Measure the circumference: This can be done by wrapping a piece of string around the object, marking the point where the string meets, and then measuring the length of the string.

  3. Measure the diameter: This can be done by measuring the longest distance from one edge of the circle to the other.

  4. Calculate pi: For each object, divide the measured circumference by the diameter. This will give you an approximate value for pi.

  5. Compare the results: Compare the calculated values of pi for each object. They should all be close to the known value of pi (approximately 3.14159).

  6. Conclusion: Discuss the accuracy of your results and any factors that could have affected them.

Remember, this is an approximation method and the results may not be perfectly accurate due to measurement errors or irregularities in the objects.

This problem has been solved

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