Sinau Matematika “Persamaan Lingkaran”

salam sehat dan bahagia..

yuuk sinau matematika…

Persamaan Lingkaran

persamaan lingkaran dengan pusat O $(0,0)$ dan jari – jari $r$ adalah $x^{2}+y^{2}=r^{2}$
persamaan lingkaran dengan pusat P $(a,b)$ dan jari – jari $r$ adalah $(x-a)^{2}+(y-b)^{2}=r^{2}$
bentuk umum persamaan lingkaran: $x^{2}+y^{2}+Ax+By+c=0$ , dengan pusat $P(-\frac{A}{2},-\frac{B}{2})$ dan jari-jari $r=\sqrt{\frac{A^{2}}{4}+\frac{B^{2}}{4}-C};A,B,C\in R$

Persamaan Lingkaran	Persamaan Garis Singgung
$x^{2}+y^{2}=r^{2}$	$y=mx\pm r\sqrt{m^{2}+1}$
$(x-a)^{2}+(y-b)^{2}=r^{2}$	$y-b=m(x-a)\pm r\sqrt{m^{2}+1}$

Panjang garis singgung persekutuan luar adalah $\sqrt{d^{2}-(r_{1}-r_{2})^{2}}$

Panjang garis singgung persekutuan luar adalah $\sqrt{d^{2}-(r_{1}+r_{2})^{2}}$

dengan:

Semoga bermanfaat, terima kasih.

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