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Presentation Transcript Slide 1: Lingkaran LINGKARAN : LINGKARAN Oleh : MG. Erni Harmiati Lingkaran : Lingkaran Lingkaran : Lingkaran DAFTAR ISI: : DAFTAR ISI: Pengertian Lingkaran Persamaan Lingkaran Berpusat di (0,0) Persamaan Lingkaran Berpusat di (h,k) Bentuk Umum Persamaan lingkaran Latihan a. Definisi Lingkaran : Lingkaran adalah himpunan titik-titik pada bidang datar yang berjarak sama terhadap satu titik tertentu yang disebut pusat lingkaran. a. Definisi Lingkaran Pengertian Lingkaran b. Definisi Jari-jari Lingkaran Jari-jari Lingkaran adalah jarak antara pusat lingkaran dengan titik pada lingkaran. Jari-jari lingkaran dilambangkan oleh r. Persamaan Lingkaran yang Berpusat di Titik (0,0) : Persamaan Lingkaran yang Berpusat di Titik (0,0) x2 + y2 = r2 Persamaan Lingkaran Slide 8: L {(x,y) | OP = r} L {(x,y) | (x-0)2 + (y-0)2 = r2} L {(x,y) | x2 + y2 = r2} Slide 9: Posisi suatu titik terhadap lingkaran P(x,y) di dalamLingkaran Slide 10: Posisi suatu titik terhadap lingkaran P(x,y) pada Lingkaran Slide 11: Posisi suatu titik terhadap lingkaran P(x,y) di luar Lingkaran Slide 12: Persamaan Lingkaran Berpusat di titik (h,k) Bentuk Umum Persamaan Lingkaran : Bentuk Umum Persamaan Lingkaran x2 + y2 + Ax + Bx + C = 0 Pusat (A,B) Jari-jari Latihan : Latihan 1. Tentukan jari-jari tiap lingkaran berikut: a. x2 + y2 = 4 b. x2 + y2 = 16 c. 4x2 + 4y2 = 9 d. 9x2 + 9y2 = 25 2. Tentukan persamaan lingkaran yang mempunyai diameter (garis tengah) ruas garis AB, untuk tiap pasang titik A dan titik B berikut; a. A(1,-2) dan B(-1,2) b. A(-3,1) dan B(3,-1) 3. Diketahui titik A(0,4) dan B(0,1). Carilah persamaan tempat kedudukan titik-titik P(x,y) sehingga berlaku hubungan P(x,y)PA = 2PB} SUMBER BELAJAR: : SUMBER BELAJAR: Sulistiyono dkk. 2004. Matematika SMA kelas XI. Jilid 2. Jakarta: Esis. W. Sartono. 2003. Matematika SMA kelas XI semester 1. Jilid 3. Jakarta: Erlangga.

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