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To see how to create a 17-gon, start with a unit circle (where the radius equals one) and a point A on the circle.—Jack Murtagh, Scientific American, 12 Sep. 2024 The area of a unit circle is pi, as Newton well knew, so when x=1, the area under the curve is a quarter of the unit circle, .—Steven Strogatz, Quanta Magazine, 31 Aug. 2022 This is the region under the unit circle, defined by y=, that lies above the portion of the horizontal axis from 0 to x.—Steven Strogatz, Quanta Magazine, 31 Aug. 2022 Some may fall inside the unit circle, others right on it, and still others outside it.—Quanta Magazine, 14 May 2020 Since going a distance π takes you halfway around the unit circle, cos(π)=-1 and sin(π)=0, so eiπ=-1.—Lorenzo Sadun, Slate Magazine, 14 Mar. 2017
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