Rapid Estimation of [pi] by Weighing Triangles, Circles, and Ellipses

Autor/in	Pili, Unofre B.
Titel	Rapid Estimation of [pi] by Weighing Triangles, Circles, and Ellipses
Quelle	In: Physics Education, 57 (2022) 2, Artikel 025025 (5 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0031-9120
Schlagwörter	Physics; Science Instruction; Mathematical Formulas; Class Activities; Teaching Methods; Mathematics Instruction; High School Students; Geometry; Numbers + Suchen Sie Ihr Suchwort? Physik; Teaching of science; Science education; Natural sciences Lessons; Naturwissenschaftlicher Unterricht; Mathematische Formel; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematics lessons; Mathematikunterricht; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Geometrie; Zahlenraum
Abstract	This article presents a simple, fast, and equally accurate technique for measuring the area of a circle and of an ellipse without using geometric formulas. This therefore, together with the known radius of the circle and the semi-major and semi-minor axes of the ellipse, allows for the calculation of [pi]. The experiment is easy, thrilling, and fun to replicate as a math or physics classroom activity, for high school freshmen or sophomore, in celebration of the famous constant and irrational number. In addition, the graphical data reveal an empirical derivation of the area of the circle and of the ellipse which is academically-enriching, for the students most specially. (As Provided).
Anmerkungen	IOP Publishing. 190 North Independence Mall West Suite 601, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: ped@ioppublishing.org; Web site: https://iopscience.iop.org/journal/0031-9120
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01