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All Journal AKSIOMA JURNAL PENDIDIKAN MATEMATIKA JPM : Jurnal Pendidikan Matematika Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi International Journal of Progressive Mathematics Education Jurnal Pemantik Global Education Journal Delta-Phi Jurnal Pendidikan Matematika Jurnal Penelitian Tindakan Kelas Assyfa Journal of Islamic Studies
Andika Setyo Budi Lestari
Program Studi Pendidikan Matematika, Universitas PGRI Wiranegara, Pasuruan, Indonesia
Religion Humanities Computer Science & IT Economics, Econometrics & Finance Education Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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Journal : Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi

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APLIKASI INTEGRAL UNTUK MEMBUKTIKAN RUMUS KELILING LINGKARAN Ayyidatul Imaniyah; Keto Susanto; Andika Setyo Budi Lestari
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 9 Issue 1 June 2021
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v9i1.10486

Abstract

Integral can be used to determine several quantities, one of them is to determine the length of a curve in the plane. It can be applied to prove the circumference formula of a circle. This research aims to explain how to prove the circumference formula of a circle using a single integral expressed in both cartesian and polar coordinates. The method used in this research is a study of literature. The result of this research shows that proving the circumference of a circle can be done by determining the implicit derivative of the circle equation. Then, the circle equation and its implicit derivative are substituted into the integral formula for determining the length of the curve in both cartesian and polar coordinates so that the circumference formula of a circle is obtained.
Co-Authors Ani Afifah Anton Wahyono Ayyidatul Imaniyah Choirudin, Choirudin Dewi Nurmalitasari Eka Fitria Ningsih Fauzan Bayu Aji Ilham Muhammad Indrawatiningsih, Nonik Keto Susanto Khoirul Anas Mohamad Yunus muhammad aufin Purwanto Purwanto Rachma Bibi Rahmad Sugianto Siti Aisah Supriyo Supriyo Wiji Putri Lestari Yavuz Erdem Akkuşci Yessi Nurmalasari