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# What is the locus of points less than three units from a given point?

Updated: 12/10/2022

Wiki User

15y ago

All points less than 3 distant from point 'P' comprise a circle, centered at 'P', with a radius of 3, but NOT including the line that is the circumference of the circle.

Wiki User

15y ago

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Q: What is the locus of points less than three units from a given point?
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### What is the locus of points that are 10 centimeters from a given point?

The locus of points (or collection of all points) that are 10 centimeters from a given point would be a circle (of radius 10 cm) in two dimensions, and a sphere (of radius 10 cm) in three dimensions.

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In three dimensions, the solid defined as being bound by the set of points at a given distance form a point is a sphere. In two dimensions, the figure defined as being bound by the set of points at a given distance from a point is a circle. In one dimension, a line segment is bound by the two points at a given distance from a point.

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