MHB How to divide a circumference into equal parts, WITHOUT COMPASS?

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SUMMARY

The discussion focuses on dividing a circumference into equal parts without using a compass. Given a circumference with a diameter of 1 meter, the total length is calculated using the formula for circumference, C = π * d, resulting in approximately 314.16 cm. To divide this circumference into 78 equal parts, each segment measures approximately 4.03 cm, derived from dividing the total circumference by the number of parts.

PREREQUISITES
  • Understanding of basic geometry concepts, specifically circumference and diameter.
  • Familiarity with the mathematical constant π (pi).
  • Ability to perform division and multiplication with decimal numbers.
  • Knowledge of unit conversion (meters to centimeters).
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  • Study the properties of circles and the relationship between diameter and circumference.
  • Learn about the applications of π in various mathematical calculations.
  • Explore methods for dividing geometric shapes into equal parts without physical tools.
  • Investigate other mathematical techniques for measuring and dividing lengths in geometry.
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Mathematicians, geometry enthusiasts, students studying basic geometry, and anyone interested in practical applications of mathematical principles in dividing shapes.

inuke
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Hi guys I have the length of a circumference, how do you divide it into equal parts given a certain amount of parts?

For example, I want to divide a circumference into 78 equal parts, and the circumference diameter is 1 meter!

Whats the length of each part? And how do you calculate it? (no compass please) Maths only please.
 
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inuke said:
Hi guys I have the length of a circumference, how do you divide it into equal parts given a certain amount of parts?

For example, I want to divide a circumference into 78 equal parts, and the circumference diameter is 1 meter!

Whats the length of each part? And how do you calculate it? (no compass please) Maths only please.
No idea why you'd want to do that(!), but here goes:
(changing 1 meter to centimeters to make it more readable)
1 meter = 100 cm = diameter
circumference = π * d = ~314.16 (π = pi = ~3.1416)
314.16 / 78 = ~4.03

Hope that helps you...
 

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