Pi Calculator Coin – Learn and Measure π

A little tool to introduce π (pi) by measuring the circumference and diameter of a circle then calculating the ratio.
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updated January 8, 2025

Description

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This 3D printable "Pi Calculator Coin" is a simple, hands-on tool to estimate the value of π (pi) by physically measuring the circumference and diameter of a circle!

Features:

  • Large Size : The coin measures 80mm in diameter, making it easy to handle and measure.
  • Marker Ridge : A marker on the top of the coin allows you to unroll it along a ruler to accurately measure its circumference.
  • Customizable Writing Area : Spaces on the coin are provided to write down the measured circumference and diameter using a pencil.
  • Hands-On Learning : Perfect for teaching geometry, mathematics, or for anyone curious about how the ratio of a circle's circumference to its diameter leads to π (~3.14159).

How to Use:

  1. Unroll the Coin : Place the coin upright and roll it along a flat ruler, starting from the marker ridge, to measure its circumference. Write with a pencil the circumference on the part.
  2. Measure the Diameter : Use the same ruler to measure the diameter of the coin. Write with a pencil the diameter on the part.
  3. Calculate π : Divide the circumference by the diameter to approximate the value of π.

This model is perfect for classrooms, homeschooling, or just as a fun mathematical experiment. It's simple, engaging, and brings an abstract concept to life in a tangible way.
The texture on the side makes it easier for children to manipulate and unrolling it on paper.

Printing Instructions:

  • Material: PLA ( to match the recyling symbol including in the model )
  • Use a clear color so you can write on the part with a pencil.
  • Text must face the bed and the recycling symbol for pla is on the top.
  • You can add a color change at layer 3 to make the text more visible.
  • Infill: 15%-20%
  • Supports: Not required.

I've printed mines with a 0.8mm nozzle and a 0.3 mm layer height.
You can (and should) adjust the size in your slicer so you have several ones with different diameters so your students understand that the ratio of the circumference to the diameter is always pi for any circle.

Make math fun and interactive with this practical and educational tool !

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Model origin

The author marked this model as their own original creation.

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