Distance from Point to Circle Center
Distance from Point to Circle Center
\[d = \sqrt{(x-h)^2+(y-k)^2}\]
Variables
d = distance from point to center (m)
x = x-coordinate of point (m)
y = y-coordinate of point (m)
h = x-coordinate of center (m)
k = y-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
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