Media Pembelajaran Persamaan Lingkaran

Media Pembelajaran Persamaan Lingkaran
[b]A. Persamaan Lingkaran[br][/b]Dalam matematika lingkaran didefinisikan sebagai himpunan atau tempat kedudukan titiktitik yang berjarak sama terhadap sebuah titik tertentu. Titik tertentu itu selanjutnya disebut pusat lingkaran, dan jaraknya disebut ukuran jari-jari. Perlu di bedakan antara lingkaran dan daerah dalam lingkaran, seperti pada Gambar 4.1., yang berwarna biru adalah lingkaran dan daerah yang diarsir adalah daerah dalam lingkaran. Titik A pada Gambar 4.2., terletak pada lingkaran, sedangakan titik B tidak terletak pada lingkaran tapi pada daerah dalam. 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JlnlBHKLaIloK5duwZFWHDmzBmZS5QR2laaTjJ3iZaAoqEn9L2M0Hm1VpbKlW2kV0CrdTDZWbr0rHLtUl+P1ySU54R8pSMtNRWp6WYwtzCXv4/WqFy5GNq0qYQ1a84jJoaGupggqki9dg4epF4wL9GhwxjN5BZpKc8pY1mqV58pPUwmM2lp6TKb3s1tjvRWXzmPtopPnRxE9/W6bvq0qLNi9ntlRNluK8U1DQ6kpTnR6B6bOfOYajEtjCZOU6YclhduypTfVIsOY+YWaSnPKWNZvvpqj7xWPFtBZnx8LsnrkltzNO3fv18sXrxYpo8YJHGv8Cxb5LE4EYl+A4WrdQsx66b20hdIvCtWnCUfbK9FvHMZo4lT587rhJ3dBIMXTZ9b9ConeNOjhcnm9ORUFprcnm7CnTv/VS0M0anTOlGo0CSZfPiy9OzZU5iZmcnfumDBgmLr1q3qngxkE6ckETi5ibBz7S92anQY5IwZ/rLu7N9/VbWYDkZrLdNa82+9VdbgCrp6lCaQwV4uPc2bN4evr6+6ZRjFS8HEiRPVLcPQir20fNPTMGZZaIVZgq4Zo0Opuzh8+Iac8N/e3kq1vhiKN4z169fLcxIUS/zpp5/k52yIRJxb76XsH4UBneqjpXcKvvxtMtprdOWmLl10Y0MPHboh300Jo4gTBcNpnbBq1bLPb3ThwgV4eHhAad4olc7eoHitXr1advdT4NnQXEzEN998g8qVK0tBoMG5hmjZsiUmT56M1q1bG1yKXCtlKVvWAVZW5rh2LVq1MEFB9xEdnSSXBX9ZaCoRvTDpefgwh9QNM2u8+bEXxo2bhsVr1mPOhylY9NknmBOYrB6gLSpVcoSTk61JdqgYRZz0OTvOzpnzel73BG9ammzuWWWxskriXKcM6G82vVf5MtCiqEqTWt3S4enpqX7KmQIO1fHxlOFoGf8XVm4OUq3agwT8xInQbAKsdYwiTnfu6GbsyyhOnIT59LK4uDg8vm6Mrolrbm6GBg2cVcuLY25uLqfKGT9+PPr06SObePS7ZCdNTmOTkcSrIbiZ4oiqNV7eg3tVkIDHxCTJde9MCkVNXzv6AC8NUiQ4CfPZZenRY6Owtze82nF+pEaNeaJu3YXq1muAkjCX9Bc1rSxF5faDxagxY8WY4X1Fu8ZNRc9pB0WEhsca69N2liw5o1pMA6N4TpQ0R9DKpfpkQy0lPmqxLPfv33183fI7qanpCAq6B3f30qrlNWBXCc0H/IbAxCQE756LqRPGYYL3cuw5dhjrRjaHk9G6lp6Nu7vOuwwMDJfvpoJRLmlaWrp8v379KrZv3y6bPEuWLEG3bt3kTat4DHI/QZ/JRvvoGDqWvkM9LATFbKiXjI6ZNm2aPCY0NBS7du2SzS6C3mmb7LSfjqPj6Xv0fYLOp+Wy3Lp1Q96UDBAWFqs0r6BcHwfVwjyNQoUsUaSIlVLnTCwsoHpQrxX9IpIffDBMs4mPhJbK8v77y+XUMowQx4/r5gAztWaKMalefa5cJsuUMIo4rVlzTlYuLy/DUzpwEmb2stC8V9bWE9Wt/M2WLRdl/dm1K1i1MM+ideuVoly5meqWaWCUZl3x4rby3c2tnnzPCU7CfEJ4eBwoX4UBoqJ0A1n19Yh5NnStHjzIHNfUOkYRJ30KASViZoWTMA2X5erV+3BxyZ5qkB9JSUmT7xYWGo5Cawy6VqYWszSqOIWFxcl3PZyEmXNZKAEza9JqfkWfS/iUkU9MFgoUMMuWo6V1jCJOxYrZwsbGAtevPxmOwUmYOZdl7drNSEoyg6urvWrN3+g9Ju69fH5SUtIVj9y0PE2jlbZevdKKRxAqPx85cgS//PKL9EI6deokbVn5/fffMWfOHNnkoeEGWRHK45S65RcuXAh3d3eUL19e3fMEihtNmjQJmzZtQt++fRWBtFH3PEGLZdFfJ32+Sn6HusaJhw+1v96/VoiNTXp83UwFo4kTjfehgay7dx/iJMxnlMXcXCduuTHINS9QurRuCgAezvP8UI5T6dKmFRYwojjpmjnLlvnJJo8WEx+1Upb0dGc4OlrLqVeZJzFLFqfnh66VycUsZUKBEbhz56HMVenQIXPuBSU5aiXxUQtloXF6RYv+/Oon8Dch4uKSZN0ZNmy3amGeBi0yWqCAl/j88+2qxTQwmjgRtHRy06ZL1a0ncBLmk7IEBd2TN+LEiX+pFoZwcZmhCPoKdYt5Gn//rVvX75dfjqoW08Co4fvWrSvi2LHbuHHD8CRqnIQJrFunazLStWKe0LixK06dCn08TpPJGbrHCLpmpoRRxenLLxsolUtg/vxTqoWTMDOWJTk5DYsXn0HduqXQqBEHwzNCnQNxcSnKb2TCi0a+JmjuK0ojqF/ftHp7jSpOdLEaNXLB0qUBSExM5STMLGXZtOkfhIc/4pVsDaDvUNF7BUzO0KyhdeqUUh6MFqrFNDCqOBF040VGJmD8+K2chJmlLLTMdtGi1ujVy/D58zOUJ2dpWeDxdL2MYSIj4xEc/MA001DU2JPRSEpKFU5O00SRIt/xTJgZOH06VAYxR470Uy1MVho1WiJcXWfI9dkYw2zYcEHWI5p91tQw91JQdcoomJsXkJm+fn53lGZeUeVpmIAqVXTL2eihxEdKSixatKj0Lihu4+r65ElACYyrVq3CxYsX4ebmBuVmR6lSpVCkSBH1CF3i49atWxEWFiY9nYiICFSrVi1TrIn+Bs0lTd8nT4eSJI1Vls8/X4+QkFisWdNV+a7hOFV+JyEhBRs2XFS8qFKoWrW4amUyMnjwbkRHJ2LRoveUe8tctZoIqkgZldu3Y4SFxTjRsuVCXo5c4cCBk8r18JILjzI58/BhoihceLKcq4jJTmBguPSaaMVoU0QT4kT067dNXsi5c/2Mnviox1hJmOXLj5bX4uhRnaAxOTNo0E5hZuYl88GYzAwcuENem+Dg+6rFtNCMOEVFJQhn5+midOnpIiCA1sB/etEo8bFNmzbqlmEo8VFptapbhqHERz+/nOM6+iTMp5GbZRk5co1JP+1eNxcvRsjrNWTILtXCEHQ/2dlNEu3arVYtpodmxInYvTtYVrQSJXSeSE7ovZWcMrYJvbcSERGhWrKj91bi4uJUS2Yyek45kZtlWbVqm3BwmCLc3OaI+PhkdQ/zLFq1Wimbd9TMY3R4e/vLe2nnzn9Vi+lh9FSCjLRvXxn9+9dFRERJXLpkeCaxvJzntHJllLKdpJz3fdjYZE8KZQxD6SixscnK9TunWvI3yn0tE5srVSoq7ylTRVPiRHh7t1VudHt4eu7EvXuPVKuOvJzndOdOaezffwPffvvW4wRD5vno1MkN5cs7YOrUI4iJ0c0vnp9ZtiwAISFRGDSogZwB02TROVDaYt++KzKQ16XL749zWPJynlNQUIRsltAqtomJKeoRzH/Bx4filF6ib9+tqiV/cuNGtFwZmpaCMvW6ZPQ8J0NUrFhU5maQm06Dgs3MgmUzKy/mOZUtWwc//PAvkpLo3D2Vv8sLRb4IVaoUx7VrUUqdOS9XAqbt/IZyP6Nbt42K1/QAO3d+otQtE69LOo3SHuQx6dMLKlX6Vhw7dlza81Ke0+XLkbKH0spqgti794rcz7w41ENFU6mUKvWLiIyMV635h3nzTsr7ZcyY/arFtNGsOBEZBapPn62Pm3ivIreIzkfnzcirzHMiYaKhFzY2E1mYchFf38uyvvTsuVm15A9CQiJl6sCbby4QycmGQxamhqbFichJoEx5sjkWplcLzfhI9WXz5pxTQPISdE80a7ZMFCw4Xk4sl1fQXG9dVqi34bffOqNfvzoyBqUIlZzniDDFyeZ69/4aLVqskDMxbN/ekyeRewXMmNEG5co5YMCA7Thz5o5qzbt8/bUvDh++ibFjm+PNN0up1jyAKlKah54OHh46D6pMmcmie/ehuZL4+LqSML29vcWECXult8Qe06vn7Nk7cu71IkWmyBke8ipDh+6W98SHH24QqalpqjVvYDLipGfBglOybU0Dhb28/pSTt2claxA6K4YC4lkxFBDPStaAuCGoLF5es0XDhgtkJXJ3XyQuXAhX9zKvEsVrytMClVGYDN0Hpo4Z/aM6USYDdRn36+eDv/66IafLWLnyA9SsWULuo8RHR0dH2UwztJglJT5S1nf9+vXRq1cvg4tZUhKmj4+PTMDMaWFNSsKkpl6bNm0MLqxJ/PjjWAQF2WH37lTQ6rQ//vgOvv++Ga/x/xo5ezZMaTqvoocw9u37LM8sTDps2B78+utJfPhhNaxf3y1v1ikSJ1OEEh1nzTomm0iWluPFpEmHxMSJP2smCXPkyClKuQbIJ1vt2vNFQEDeCVSaGnnNg8rrHpMeTSZhPg+02ACtJtG9ew2cOBGKVavOwd8/RfGWKLEyFhUqlH7tSZjK9VT2B6FHj+XYti1J2XbADz80w9q1H8LFxV4ew7x+aKXb//2vElavPi87VSg5sVatkupe0+HBgwTZYli27O+87THp0WmUaUOBwDVrzslpW+mJQkNfatWarHg4usTNjImPhKGY08skYfr7nxGzZx8Xb7wxS/59Sqqk4P3583flcYw2IO+1UqXZ8jfq2nW9iIgw3BGiRXbs+FdOJ0Rlp3ma8rLHpCdPiFNGTp0KlflQ1NSjH7JixRnigw9+Fp9+OuJxjpQefW8d9cb91yRMmp6DxgC2auUtChb8Sf6t8uVnimnTjuTL7GRTgVYLHjx4l3yA0dz1Ws+Fio5OUB6IW2X9ouz3PXsuq3vyPiYZEH8e7t+Px5IlZ+TUEbdv69bUt7e3lOu/UXOQVqOgIHqnTi0QEhIMxQtSmojd5XEZoeZghQpVUaiQM8aNW4Lg4AS54getl5aeTs1L3YKXNG3He++5mfYo8HzEgQPX4OHhgxs3YtCzZ03MndsBjo7ZO0eMiZ/fFfTv7yPr72ef1cbs2e3z1XzyeVac9CjeEvz9b8n1zUhU6J3WgnuCgINDQZQr56iIlxUKFjRXREdAcZtx7148QkMfIj4+VT2WkkIhRY2mNSGBe+edcop4FVX3MqYEzZ01YoSf8hA7i1Kl7PDVV43x+ef1UKyYrXqEcTh69CbmzDmBjRsvomRJOyxe3AmdO2eOfeYH8rw4GeL69WgpVJcvP8CdO7HyFRYWi0ePUmSXP3lDJFL0JHV2LixfLi6F5cKEDRu6oHBhK/VMTF7A1zcEw4f74tKlSFhbm+Pjj2ti6NBGcm281wWtJENLz8+bdwoBAXdhYWEm1yuk+c2MLZbGIl+KE8NkhW6DffuuyoVMd+4Mlk32xo1dZHOdeoRf1bJK9KCk0MPSpWfx4EGi9JS++MIdnp715UMxP8PixDBZyCoYxYrZ4O23qRmva8o3aOACW9sXm0aZ5ifLGGKgsX8khHReEsJu3aqb3vpyrwgWJ4bJAWpq/f77BWzYcEHm0sXEJEk7Nblq1y4pY4+UQ6Vv+hcqZImCBQsgLe1JzFIfMrh16yFOngxVPsfJcxBubo54993y0lPKK5nruQmLE8M8B9RJEhR077HXc/z4bVy5EoWkJN0MGc/C0dFaxiz13hf1GOfXWNLzwuLEMC9BZKTeO4pDfHyK9JgonYQ6VKg5qPesrK0t1G8wzwuLE8MwmoSHxzMMo0lYnBiG0SQsTgzDaBIWJ4ZhNAmLE8MwmoTFiWEYTcLixDCMJmFxYhhGk7A4MQyjSVicGIbRJCxODMNoEhYnhmE0CYsTwzCahMWJYRhNwuLEMIwmYXFiGEaTsDgxDKNJTEec4q7iwPKp8PIaj4mTp2PJzvMI8j+G4CfrXb4Qabf+wqwBb6F6v82IV225RmoQFvbpi4X/5jTPdByCd03Hl6PW4Va6amK0SZ6rf0m4tmM8+rRvjnfae2DqvlA832zorxGaplfrJAQuEh/VbyFG/HFJxKaRJVHc8B0rWrj1Fn8kyENeglRx+ee3RLEeG8Qj1ZI7JInzszuLsg51xI8BKaotM3FXjoj1X9UXhd76WVxOVY2M5siL9S/lb28xYPB8sevQAbF6ZDNRwqG5mBGkrUqofc/p0WH82GsMovotxdSuVVBIltgKZdv+hOXf1UfKSz9uzGBjY6X8m7skBizAyuTWaOOU8yW2q/g2urSoDvvc/uNM7pEn6186YpKaYMSsL9GhWQv0nvwrPCueg3+AbukrraB5cXqwbTaWXmuIHh9VQOalBgugnMdX+MhR8V6vbcek0T9h6rgh6OO5ACdjld1xwdgzZzg+Groc/j7j0Pt/76Dj8E0IubUPU/t3QPPW/bHkfKLuVFQz0iOwd0JPtHynHQbMOoJ71MxKvYbtk0bjp6njMKSPJxbQiWODsHPWV+g+bCH+mPIRWnWbiTNZXfv4k5i/zhJ9PWvAUjXliJlZrldMJvd4nvpnsJ5ouv4VQLGGjVFVvyCMmSUsbd1Qs/oza+trRePilIxLAYGIc3CGSyHVpJAeGQifWaMwwGMAvvvVF8vHDsJB14EYOeZr1AgcC29f5XFm7Yqa1iHw2/cnLpX4HItWfAHbjSPw1YoEdJq+FpPqnsKYqbset/NTrpzHg7eGY6JnVZwf1w2D10cgcfc4DDroioEjx+DrGoEY6+2LeKuyqGkVjP/bdQCRjQeiX/vqKJ5JXeLgP38LHAZ8jpovtigsoxmep/4dwCVFfLLVExOqf2nBO3CmwlB8UUtby1dpXJwKwM7OVrneUYhKVk0KBYrVQseWtghYfxbWzVujz/QjWNTqMtbN34hzMYlISBCAhS2cSjrCtngtNG/oDLtSdVHbtQCc67dB9aJFUbdWBSRFPYD67ELByq3xUauGeKvXz5j0sQ38D5yGdbupOLKoFS6vm4+N52KQmJAAYWmHUiWU85ZpgjbNW6J3/7Yol+GRGntoKhaE10Hle8dx5FgQIhIf4U7gSfz7gCPepsfz1L93ULWTgXpiKvUv7QpWL4pE76m94KwxNdC4OFmgWtvWqJTgD9/90apNh5mlFQoq7qi1ZQpCdnrh24XhaOjhiRZllV/K4FJ8SvMpwxPGjDaUw7IfaQEnJ0fY2dgiOWQnvL5diPCGHvBsUVZx64WB4zOShsibDxB5bhkmjh+P8ZNW4lTUXRxaNB1bg16yW4cxAs9T/8yes55osf5F4+j8VUj3+AldtaZMChoXJ8Cy8WjMGVoSu8b8gN13Dah/8hks9z4Ix7Yd4WZ+F+HR6UhLjUF0rP7Yp/2cBval38Hx85Z4v0cdnFnujYOObdHRzRx3w6ORnpaKmOhY6M5s6LzmKN97Hnb7+cGPXjt/RsfSlfDx3I0Y/bYl0iNOwcf3H/VYFUVISUvZr9Imz6x/StPvv9cTPcasf7E489tMBNT9Gn1rK95hajiO7vFHRHo6Ik75wPefOPU446F5cVJ8aPxv2j74jrDD2qH98e24aZg+dQLGzAlC9SGD0K5CTbR9rwR2D2qNnmP2QZR1wqVtK/F3xL/w3RuIqGvHsNX/CkIO+eC48lQJ3OeLf66ewcb9l5AYfBBbAqJQ9J3e+DBuGQZ8Mw5Txi3Ag75rML5ZEeWp+R5K7B6E1j3HYJ8oC6dL27D88Gn47P0HMZf8sGr/1cdu+fMQdWAmho1aqW4pz7nQ49j4f0oZrx/BZr8gKLrKaI1n1T8XG4P1ZOWxcxquf4k4M/19dBg8Fd+1dUVhOzvY2pXDsBOF4FggCgdmDsOolX/rvmREeDlyhmE0ifY9J4Zh8iUsTgzDaBIWJ4ZhNAmLE8MwmoTFiWEYTcLixDCMJmFxYhhGk7A4MQyjSVicGIbRJCxODMNoEhYnhmE0CYsTwzCahMWJYRhNwuLEMIwmYXFiGEaDAP8fwZNVV7oKKQsAAAAASUVORK5CYII=[/img][br][br]Dalam bidang kartesius, tiap titik dapat dinyatakan sebagai pasangan terurut (x,y), sehingga himpunan titik-titik yang terletak pada lingkaran tertentu memenuhi persamaan tertentu yang disebut persamaan lingkaran.[br][br][b]1. [/b][b]Persamaan Lingkaran yang Pusatnya (0,0) dan Jari-jari r[/b][br]Misalkan A(x,y) terletak pada lingkaran dengan pusat O(0,0) dan jari-jari r seperti terlihat pada Gambar 4.3, maka [math]OA=\sqrt{\left(x-0\right)^2+\left(y-0\right)^2}=\sqrt{x^2+y^2}=r\Longrightarrow x^2+y^2=r^2[/math][br][img]data:image/png;base64,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[/img][br][br]Jadi persamaan lingkaran yang berpusat di (0,0) dan jari-jari r memiliki persamaan[br][math]x^2+y^2=r^2[/math][br][br][b]2. Persamaan Lingkaran dengan Pusat A(a,b) dan Jari-jari r[/b][br]Misalkan titik P(x,y) terletak pada lingkaran dengan pusat A(a,b) dengan jari-jari r, maka [math]AP=r=\sqrt{\left(x-a\right)^2+\left(y-b\right)^2}\Longrightarrow\left(x-a\right)^2+\left(y-b\right)^2=r^2[/math][br][br]Persamaan[math]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/math] ini merupakan persamaan lingkaran yang titik pusatnya (a, b) dan jari-jarinya r.[br][img]data:image/png;base64,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[/img][br][br][b]3. [/b][b] Persamaan Umum Lingkaran[/b][br]Persamaan lingkaran dengan titik pusat (a,b) dan jari-jari r adalah [math]\left(x-a\right)^2+\left(y-b\right)^2=r^2\Longrightarrow x^2-2ax+a^2+y^2-2by+b^2\Longrightarrow x^2+y^2-2ax-2by+a^2+b^2-r^2=0[/math][br]Bila [math]-2a=A,-2b=B[/math] dan [math]C=a^2+b^2-r^2[/math], maka persamaan [math]x^2+y^2-2ax-2by+a^2+b^2-r^2=0[/math] dapat ditulis sebagai [math]x^2+y^2+Ax+By+C=0[/math].[br][br]Dengan demikian bila diketahui persamaan lingkaran [math]x^2+y^2+Ax+By+C=0[/math],[br]maka dari koordinat titik pusatnya [math](a,b)=(-\frac{1}{2}A,-\frac{1}{2}B)[/math] dan jari-jari [math]r=\sqrt{\left(\frac{A}{2}\right)^2+\left(\frac{B}{2}\right)^2-C}[/math]

Information: Media Pembelajaran Persamaan Lingkaran