Question

Escreva a equação geral da circunferência com centro C(-4,1) e raio r=4.

Answer 1

$\Large\textsf{Centro da circunfer\^encia C(-4,1), raio = 4.}\\\\\textsf{Pela equa\c{c}\~ao da circunf\^encia, teremos:}\\\\\\\mathsf{(x-C_x)^2+(y-C_y)^2=r^2~~~~(substitua~os~valores)}\\\\\\\mathsf{(x-(-4))^2+(y-1)^2=4^2}\\\\\\\mathsf{(x+4)^2+(y-1)^2=16~~~~(expanda~os~produtos ~not\'aveis)}\\\\\\\mathsf{(x^2+8x+4^2)+(y^2-2y+1)=16}\\\\\\\mathsf{x^2+y^2+8x-2y+17=16}\\\\\\\mathsf{x^2+y^2+8x-2y+17-16=0}\\\\\\\large\fbox{ \mathsf{x^2+y^2+8x-2y+1=0} }$