How Can I Find the Centre Point of a Circle with Given Coordinates and Radius?

  • Thread starter Thread starter bikermart
  • Start date Start date
  • Tags Tags
    Circle
Click For Summary
To find the center point of a circle given two points and a radius, the general equation for a circle in Cartesian coordinates can be used. This approach results in two simultaneous equations that need to be solved. While some users express a desire for a simplified formula for direct input into programming, the equations are manageable. The discussion emphasizes that although the calculations may seem cumbersome, they are not overly complex. Understanding the mathematical principles behind the equations is essential for accurate results.
bikermart
Messages
3
Reaction score
0
given the x,y coordinates of two points and the radius of a curve. has anyone got a formula for calculating the coordinates of the centre point please
 
Mathematics news on Phys.org
Welcome to Physics Forums.
bikermart said:
given the x,y coordinates of two points and the radius of a curve. has anyone got a formula for calculating the coordinates of the centre point please
One can simply use the general equation for a circle in Cartesian coordinates.
 
which is ?
 
thats great thanks but that give me two simultaneous equations to work out.
i might be being lazy here but has anyone trawled out the formula such that given x1,y1,x2,y2 and r then a= and b= so i can just stick them in my program.
cheers.
 
bikermart said:
thats great thanks but that give me two simultaneous equations to work out.
Indeed it does. But they are not difficult.
 

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

Undergrad Equation for circle points in 3D
  • · Replies 3 ·
Replies
3
Views
3K
High School Circle tangent to two lines and another circle
  • · Replies 2 ·
Replies
2
Views
4K
MHB Finding 2D Polygon Coordinates from a point
  • · Replies 2 ·
Replies
2
Views
2K
High School Calculate distance between ends of a circle segment
  • · Replies 22 ·
Replies
22
Views
3K
High School Points on a Circle (moving through an obstacle)
  • · Replies 1 ·
Replies
1
Views
1K
MHB How Are Tangents to a Circle Found and Their Intersection Point Determined?
  • · Replies 5 ·
Replies
5
Views
2K
High School Reprise: Calculate the distance between two points without using a coordinate system
  • · Replies 1 ·
Replies
1
Views
2K
MHB What is the Center and Radius of a Circle?
  • · Replies 9 ·
Replies
9
Views
2K
High School Invariant under rotation: Banal, obvious, or noteworthy?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Spherical trig - sphere radius from 6 lengths
  • · Replies 8 ·
Replies
8
Views
2K