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...
 
Thread 'Video on imaginary numbers and some queries'

Thread 'Video on imaginary numbers and some queries'

Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

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...
View full post »
Thread 'Unit Circle Double Angle Derivations'

Thread 'Unit Circle Double Angle Derivations'

Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
View full post »

Similar threads

Circle w/ circumference equals to that of an ellipse
Replies
7
Views
5K
MHB Dividing Line Segments into Four Equal Parts using Midpoint Formula
Replies
5
Views
1K
MHB Find angles when circumference is divided into 5 unequal parts
Replies
2
Views
3K
MHB Garden Materials Help: Calculate Circumference, Perimeter, Areas & Costs
Replies
1
Views
2K
MHB Find the exact shaded area of the region in 4 overlapping circles
Replies
1
Views
3K
Can You Divide a Circle into 360 Equal Sections Without Special Instruments?
Replies
10
Views
3K
MHB How to Calculate Area and Circumference of a Unique Field Shape?
Replies
6
Views
3K
I Question about Integrals to Determine Volume vs Surface Area
Replies
5
Views
3K
I Optimization problem with multiple outputs: impossible?
Replies
6
Views
2K
Understanding Earth's Spinning Speed: A Simple Explanation
Replies
13
Views
3K

Hot Threads

Recent Insights

Back
Top