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

AI Thread Summary
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
Messages
1
Reaction score
0
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.
 
Mathematics news on Phys.org
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...
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top