Investigation - The Circumference of a Circle

As you may be able to guess from the title, this investigation is about the circumference of a circle. We are trying to find how many times a diameter of a circle can go into the circumference of a circle. Although some of us already know that before, we are asked to prove if it is correct. And it is of course 3.14 times.

The first task was to get a chalk and tie it to a string about one metre and something long. Then, we measure it and cut it to a meter (recommended to do so when stretched). Then, we draw a circle on the ground and that would make the diameter 2 metres as the radius is 1. However, we have to very careful to not pull the string or pull the string when drawing the circle, depending if the string's cut stretched or not. And then, we have to take out the chalk, cut the string into a metre when not stretched, and then lay it on the circumference perfectly and see how many times it can fit in the circumference. The string would fit in about 6 times as it's the length of the radius, which means the diameter goes into the circumference about 3 times. Technically, it should be 22/7 or at least 3.14, but approximately it is 3 times. (I do think it would be more precise and straightforward if we make the diameter a multiple of 7, and find out if the circumference is the multiple of 22. That would prove it too.)

Then, we did some exercises dividing the circumference by the diameter and finding out if it's around 3.14. Of course, again, technically it should be 22/7, but approximately it is 3.1 times. That's because the measurements are to the nearest tenth.

I had no difficulties and I have figured out the solution quickly before taking the task. I totally understand it also. However, I didn't use any diagrams. We did discuss the purpose of this investigation and the discussed that π is 22/7 with the proof from the numbers we found out in the investigation.