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  "body": "\n## Summary\n\nA sphere is the set of points at a fixed positive distance, the radius, from a fixed point, the centre.\nIn three-dimensional [[Euclidean space|0XPR1E85W0]] it is the surface of a ball, and in the plane it is a [[circle|060W5CBZP6]].\nThe same definition makes sense in any [[metric space|0VKD1TP7F3]].\nSpheres are among the most symmetric shapes, and many problems of geometry, physics and analysis are posed on them.\n\n## Explanations\n\n### L1 human\n\nThink of the skin of a ball: every point on it is the same distance from the middle.\nThat common distance is the radius, and the middle point is the centre.\nFor example, the points $(x, y, z)$ with $x^2 + y^2 + z^2 = 1$ form the sphere of radius $1$ about the origin.\nIn the plane the same recipe draws a circle.\n",
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