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Radius and Circumference of a Circle

Mathematics

★Exhibit Content: Pi ★Interaction: Mechanical Interaction ★Operation: 1. Turn the handwheel clockwise and counterclockwise respectively, observe the retraction and expansion of the semicircle on the digital scale, and experience the relationship between the circumference and radius of a circle; 2. Turn the handwheel and watch the linked changes on the digital scale. ★Exhibit Description: The exhibit consists of two sets of demonstrations, one demonstrating pi and the other demonstrating the relationship between circumference and radius. On the left is a scale marked with numbers and a sector structure. When the handwheel is turned, the sector retracts and expands. On the right are two disc structures, large and small. When the handwheel is turned, both discs rotate simultaneously; after the large circle makes one full rotation, the small circle makes exactly three rotations. Through the interactive device, visitors can clearly understand the relationship between circumference and radius. ★Scientific Principle: When a line segment rotates around one of its endpoints in a plane for one full revolution, the path traced by its other endpoint is called a circle. The line segment connecting the center of the circle and any point on the circle is called the radius, denoted by the letter r. The circumference of a circle C=2πr=πd. Here π refers to pi, generally taken as 3.14. Pi is the ratio of a circle's circumference to its diameter, generally represented by the Greek letter π, and is a mathematical constant ubiquitous in mathematics and physics.

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Principle Display: ★★★ Interaction Effect: ★★★★ Ease of Installation: ★★★★★ Durability: ★★★★ Overall Rating: ★★★★

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