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

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To divide a circumference into equal parts without a compass, first convert the diameter to centimeters, making 1 meter equal to 100 cm. The circumference is calculated using the formula π * d, resulting in approximately 314.16 cm. To find the length of each part when dividing into 78 equal sections, divide the total circumference by the number of parts: 314.16 cm / 78, which equals about 4.03 cm per part. This mathematical approach provides a clear method for achieving equal divisions of a circumference. The calculation effectively addresses the original query.
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...
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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