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How do you measure a circle with string?

Published in Geometry 2 mins read

You can measure the circumference of a circle with string by carefully wrapping the string around the circle one time, marking where the string overlaps, and then measuring the length of the string between the start and mark. That length represents the circumference.

Here's a breakdown of the process:

  1. Gather your materials: You'll need a piece of string (non-stretchable is best for accuracy), the circle you want to measure, and a ruler or measuring tape.

  2. Wrap the string around the circle: Carefully wrap the string around the outside edge of the circle. Ensure the string lies flat against the circle and doesn't overlap itself.

  3. Mark the string: Where the end of the string meets the rest of the string, make a clear mark on the string. You can use a pen, marker, or even just pinch the string tightly.

  4. Measure the string: Remove the string from the circle and lay it straight along a ruler or measuring tape. Measure the distance from the end of the string to the mark you made.

  5. Record the measurement: The length you measured is the circumference of the circle.

Important Considerations:

  • Accuracy: The accuracy of your measurement depends on how carefully you wrap the string and how precisely you measure the string's length.
  • String Type: Using a non-stretchable string, like twine or a thin cord, will give you a more accurate measurement than using a stretchy string like elastic.
  • Circle Size: This method works best for circles that are easily accessible and not too large to handle.

This method provides a practical way to determine a circle's circumference without needing to know its radius or diameter.

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