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Describe each Locus


The set of all points in a plane that are 5 cm from a circle with radius 2 cm.

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The set of all points in space that are a distance 6 in. from AB¯¯¯

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Explanation:

1. The set of points 5 cm from the nearest point on a circle of radius 2 cm will be a circle with a radius 5 cm larger: a circle with a radius of 7 cm.

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2. The set of points 6 in from the nearest point on a line will be a cylindrical shell 12 inches in diameter centered on the line.

If AB is a line segment, then the shell will have hollow hemispherical ends of radius 6 inches about the end points.

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