1. tentukan persamaan lingkaran yang berpusat di O(0,0) dan berjari-jari ![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2e2-bRNiyxJEjl6JTF-4mR-HTj0k4zzHVDAnY_wyZKXIzZrBdHAv89qATLV3uAsBb5fdd9Q4MfsHmmKcufdyFaMG9MDHEerd2IXnRJEmaJnV_UVT7tAPBIIbGa0AHwu-bJQyeG6VRip-L/s0-rw/1.gif)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2e2-bRNiyxJEjl6JTF-4mR-HTj0k4zzHVDAnY_wyZKXIzZrBdHAv89qATLV3uAsBb5fdd9Q4MfsHmmKcufdyFaMG9MDHEerd2IXnRJEmaJnV_UVT7tAPBIIbGa0AHwu-bJQyeG6VRip-L/s0-rw/1.gif)
jawaban
pusat lingkaran di O(0,0) dan r = ![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2e2-bRNiyxJEjl6JTF-4mR-HTj0k4zzHVDAnY_wyZKXIzZrBdHAv89qATLV3uAsBb5fdd9Q4MfsHmmKcufdyFaMG9MDHEerd2IXnRJEmaJnV_UVT7tAPBIIbGa0AHwu-bJQyeG6VRip-L/s0-rw/1.gif)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2e2-bRNiyxJEjl6JTF-4mR-HTj0k4zzHVDAnY_wyZKXIzZrBdHAv89qATLV3uAsBb5fdd9Q4MfsHmmKcufdyFaMG9MDHEerd2IXnRJEmaJnV_UVT7tAPBIIbGa0AHwu-bJQyeG6VRip-L/s0-rw/1.gif)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSBDRevB77Xg0uwdYi1_6o82p_U6tDm5uMHhWMezjV9-Cuu6ybDN91-YlTkG9cHn2u5PmUJ-Bo52N4wqh6g_ohyphenhyphenhy0UyZc3cLMnwA2BkN9jiE-JqWryGXgKH_BLCZSQgb9NuIDefz6F3im/s0-rw/contoh-lingkaran.gif)
2. tentukan persamaan lingkaran berpusat di O(0,0) dan melalui titik (5,12)
jawaban
pusat lingkaran di O(0,0)
a = 5
b = 12
rumusnya
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGQX0CUnO0ZqEy1jWBa-edmMmiYAzfUq7DXaDd_6dgBjkdOJcrQjBEmawyPz9KCdlDMG-iTz1mXAGesUa5m5gRTFPpgjYxP0vRc-d5UqddyRtBaRwvyIKVp1qBy821Le5KOjWN_rMrbQll/s320-rw/contoh-lingkaran-2.gif)
3. tentukan persamaan lingkaran yang berpusat di O(0,0) dan menyinggung garis 2x + y - 5 = 0
jawaban
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQH1O0WME_NeLJC9ApkbjIJyG1I1fN9VvDDbZdQaPaQ7KtX_YcsO6SsxJ98-1l0SkmLElzgp9OTQTNMqYVnlw1aLf29_l9fkoHbSumvJ-XDJlhduEu4-ipdChWUd4F6R0bYR2jTlCWAIoM/s320-rw/contoh-lingkaran-3.gif)
4. tentukan persamaan lingkaran yang berpusat di (1,-2) dan melalui titik (-4,10)
jawaban
pusat di titik (1,-2) sehingga a = 1 , b = -2
melalui titik (-4,10) sehingga c = -4 , d = 10
rumusnya
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaqwH-eUKV4h1AWQVlM5ggLQwrHFdFm3PrX5Lir7AwWo-c8hGwvieI75GeGPZD-BbHMZ0Uj9h-AJ9sAmwQyXoGkbvOplm2yNTFn3Fme80S5b9sgcUTinbeLnwjSiXehjVGjRFHwm66VrFA/s320-rw/contoh-lingkaran-4.gif)
5. tentukanlah pusat dan jari-jari lingkaran dari
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2rHKM4U67Ix-aPXNAlwR-0Wid2-po5qLmyfZ36ww9mlDTKc1NPD2JMNwEuKBlsQqT9ftRA5M75Jh_ynxOrCNh9jKLB1ItkOi3ntSaO7lEwTYWCb3t_VAT6gw3y_2mr2elRcZpN1XcMJFp/s0-rw/contoh-lingkaran-5.gif)
jawaban
A = 6
B = 0
C = -16
titik pusat lingkarannya
P(-1/2.A , -1/2.B)
P(-1/2.6 , -1/2.0)
P(-3 , 0)
jari-jari lingkarannya
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMIp-M0XVls2B8gXJUfhOD-eows_T4pUvL2_7RXaX5rF8xhfnoodpLOPy7oUN0JhscnIX39I4Q-ahlItQRJ5YBjfL7Ptxlc0QUd2gXhD4hbyUcWedZ8eeTpqn6_a99E7bUX-Q5f-DUtGtM/s320-rw/contoh-lingkaran-6.gif)