[Merged by Bors] - feat(archive/100-theorems-list/9_area_of_a_circle): area of a disc #6374
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…6374) Freek № 9: The area of a disc with radius _r_ is _πr²_. Also included are an `of_le` version of [FTC-2 for the open set](https://leanprover-community.github.io/mathlib_docs/find/interval_integral.integral_eq_sub_of_has_deriv_at') and the definition `nnreal.pi`. Co-authored by @asouther4 and @jamesa9283. Co-authored-by: Andrew Souther <asouther@fordham.edu> Co-authored-by: Benjamin Davidson <68528197+benjamindavidson@users.noreply.github.com> Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com>
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…6374) Freek № 9: The area of a disc with radius _r_ is _πr²_. Also included are an `of_le` version of [FTC-2 for the open set](https://leanprover-community.github.io/mathlib_docs/find/interval_integral.integral_eq_sub_of_has_deriv_at') and the definition `nnreal.pi`. Co-authored by @asouther4 and @jamesa9283. Co-authored-by: Andrew Souther <asouther@fordham.edu> Co-authored-by: Benjamin Davidson <68528197+benjamindavidson@users.noreply.github.com> Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com>
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Freek № 9: The area of a disc with radius r is πr².
Also included are an
of_leversion of FTC-2 for the open set and the definitionnnreal.pi.Co-authored by @asouther4 and @jamesa9283.
n.b. We are forced to define the disc as a set of points in
ℝ × ℝand not viametric.ballin Euclidean space as we ought to because of the current limitations ofmeasure_theory.pi. See this conversation on Zulip.