Experiment on the relationship between the radius and circumference of a circle
Mathematics · Interactive
- Dimensions⌀0.95×0.85
- PresentationInteractive
- PricingQuoted by manufacture spec
Purpose & Scientific Principle
After measurement, it can be found that the circumference of a circle is always between the two. The more sides a polygon has, the closer it is to the circumference of a circle. In ancient times, the problem of circles almost relied on induction from experiments. People have found in experience that there is a constant ratio between the circumference and diameter of a circle, and this constant is called pi (noted as and in the West). Later mathematicians tried to figure out the specific value of this and. The mathematician Liu Hui used the method of "circle cutting", that is, using the circumference of the inscribed regular polygon and the circumscribed regular polygon of the circle to approximate the circumference of the circle. The circle was found to be close to a 192-sided shape, so the pi ratio was about 3.14. The circumference of a circle refers to the mathematical phenomenon in which a regular n-sided polygon is inscribed in a circle. The side length is set to an, and the circumference of the regular polygon is n×an. As n continues to increase, the circumference of the square continues to approach the circumference C of the circle. That is, n approaches infinity, and C=n×an.
How to Operate
Use a rope to measure the circumference of a circumscribed regular polygon, a circle, and an inscribed regular polygon. You can find that the circumference of a circle is always between the two. The more sides a polygon has, the closer it is to the circumference of a circle.
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