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What solid 3D object is produced by rotating the circle 360 about line m?

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Answer:

When a circle is rotated 360 degrees about a line, it forms a three-dimensional object called a "sphere."

Explanation:

Start with a two-dimensional circle. A circle is a flat, round shape with a constant radius, and it lies on a plane.

Choose a line, let's call it line "m," around which you want to rotate the circle. The line "m" can be any line in space.

Imagine taking the circle and rotating it around line "m" while keeping the circle's center fixed. The circle will rotate in a full 360-degree revolution around the line.

As the circle rotates, each point on its circumference traces out a path, forming a three-dimensional shape. This shape is known as a sphere.

The resulting sphere is a perfectly symmetrical object. All points on its surface are equidistant from its center, and it has no edges or faces like other polyhedral shapes.

To summarize, rotating a circle 360 degrees about a line produces a sphere, which is a three-dimensional object with no edges or faces, where all points on its surface are equidistant from its center.

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