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# What are the properties of a sphere?

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A sphere is a solid geometric figure defined as the set of all points equidistant from a common center point. It is perfectly symmetrical, and its surface is uniformly curved, without any edges, vertices or faces. It is the shape made when a semi-circle is rotated around its diameter.

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A sphere has the smallest surface area able to contain a given volume. Soap bubbles tend to form spheres because the soap film is naturally drawn into the shape with the least amount of surface area in which to enclose the volume of air. Metaphorically, the word is often used to describe the place where a person or thing exists, as in the expression, "sphere of influence." This usage suggests that the person's influence is bounded or limited, just as the interior of a sphere is contained within its surface.

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## Related Questions

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"Concave" is an adjective describing a surface that curves inward, like the inner surface of a sphere. Its antonym, "convex," describes a surface that curves outward, like the exterior of a sphere. In geometry, concave and convex refer to polygons. A concave polygon has at least one angle greater than 180 degrees. A convex polygon is made of angles each less than or equal to 180 degrees.

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Find the volume of a sphere by solving for the equation V=4/3*pi*r^3, where V is volume, r stands for radius and pi is 3.1459. Cube the radius, and multiply that number by pi and 4/3 for the volume. Pi delineates the relationship between a circle's diameter and circumference.

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Half a sphere is defined as a hemisphere. The term hemisphere is derived from the Greek word "hemi," which means "half" and the Latin word "shaera," meaning "globe."