Editing Mrs. Miniver's problem (section)

{{Short description|Problem on areas of intersecting circles}}
{{Use dmy dates|cs1-dates=ly|date=March 2022}}
{{Use list-defined references|date=March 2022}}
[[File:Mrs Miniver's Problem.svg|thumb|upright=1.35|Three instances of Mrs. Miniver's problem. In each case the inner yellow area equals the total area of the surrounding blue regions. The left case shows two circles of equal areas, the right case shows one circle with twice the area of the other, and the middle case is intermediate between these two.]]
'''Mrs. Miniver's problem''' is a [[geometry]] problem about the [[area]] of [[circle]]s. It asks how to place two circles <math>A</math> and <math>B</math> of given radii in such a way that the [[Lens (geometry)|lens]] formed by [[intersection (Euclidean geometry)|intersecting]] their two interiors has equal area to the [[symmetric difference]] of <math>A</math> and <math>B</math> (the area contained in one but not both circles).{{r|ingenious}} It was named for an analogy between geometry and [[social dynamics]] enunciated by fictional character [[Mrs. Miniver (character)|Mrs. Miniver]], who "saw every relationship as a pair of intersecting circles". Its solution involves a [[transcendental equation]].