MHB Proving Shortest Distance Between 3 Points on a Circle

  • Thread starter Thread starter roni1
  • Start date Start date
  • Tags Tags
    Circle Points
Click For Summary
The discussion revolves around proving that the shortest distance between any two points on the perimeter of a circle is less than the distance that includes a third point. The original poster seeks clarification on whether this pertains to distances along the circumference or straight segments connecting the points. Participants suggest that a diagram could help clarify the question, but confusion remains about the exact nature of the inquiry. One response indicates that the distance between the points could range from 0 to the diameter of the circle. The conversation highlights the need for clearer definitions to address the mathematical proof effectively.
roni1
Messages
20
Reaction score
0
I have 3 point on a perimeter of circle.
How I prove/show between every the two point of them there is always short way that the way between the other points?
 
Mathematics news on Phys.org
Re: question

roni said:
I have 3 point on a perimeter of circle.
How I prove/show between every the two point of them there is always short way that the way between the other points?

Are you talking about the distance along the circumference of the circle?
 
Re: question

I mean to segments between the 3 points.
 
Re: question

roni said:
I mean to segments between the 3 points.

Can you provide a diagram illustrating what you're trying to do?
 
Re: question

The answer:
The distance be between 0 to D.
D = diameter.
Am I right?
 
Re: question

roni said:
The answer:
The distance be between 0 to D.
D = diameter.
Am I right?
As it seems that we don't know what the question is asking I don't think anyone can tell you if that's right or not.

-Dan
 

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?
View full post »

Similar threads

High School In a triangle, is the angle between the points of contact of the inscribed circle with the sides 120 degrees?
  • · Replies 2 ·
Replies
2
Views
1K
High School Calculate distance between ends of a circle segment
  • · Replies 22 ·
Replies
22
Views
3K
High School Circle tangent to two lines and another circle
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad Prove that the geometric mean is always the same
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Equation for circle points in 3D
  • · Replies 3 ·
Replies
3
Views
3K
MHB Area of multiple circles inside a rectangle
  • · Replies 3 ·
Replies
3
Views
2K
High School Points on a Circle (moving through an obstacle)
  • · Replies 1 ·
Replies
1
Views
1K
High School Inscribing a circle in an Oblique Square (Drafting)
  • · Replies 9 ·
Replies
9
Views
2K
MHB Finding the Center of a Circle
  • · Replies 3 ·
Replies
3
Views
1K
MHB Can You Prove that AC//BD and AF//BE are Parallel in this Geometry Problem?
  • · Replies 1 ·
Replies
1
Views
2K