Distance from Centroid of a Circle formulas |
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\( C_x \;=\; r \) \( C_y \;=\; r \) \( d \;=\; \sqrt{ ( x - h )^2 + ( y - k )^2 }\) |
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Symbol | English | Metric |
\( C_x, C_y \) = distance from centroid | \( in \) | \( mm \) |
\( r \) = radius | \( in \) | \( mm \) |
Distance from the centroid of a circle is the distance between the centroid (the geometric center) of the circle and a given point, either inside, on, or outside the circle. The centroid of a circle is simply its center, as a circle is a perfectly symmetric shape, and its centroid coincides with the point at the center of the circle.
For a circle with center at coordinates (h, k) in a 2D plane, the centroid is at (h, k). The distance from the centroid to any point (x, y) is calculated using the Euclidean distance formula.