\[d = \sqrt{(x-h)^2+(y-k)^2}\]
Variables
ddistance from point to center (m)
xx-coordinate of point (m)
yy-coordinate of point (m)
hx-coordinate of center (m)
ky-coordinate of center (m)
Description
What is this formula?
This formula calculates the straight-line distance between a point and the center of a circle using Cartesian coordinates.
When to use it
Use this formula when determining whether a point lies inside, on, or outside a circle, or when calculating geometric distances.
Example
If the point is (5,4) and the circle center is (1,1):
d = √((5-1)² + (4-1)²) = 5 m
Applications
- Analytic geometry
- Coordinate calculations
- CAD and graphics
- Engineering and surveying
- Computer simulations