Question

escreva a equação da circunferência de centro no ponto medio do segmento de extremos A ( -1,8) e B (7,-2) e raio 5

Answer 1

$a=\frac{-1+7}{2}\\\\ a=\frac{6}{2}\\\\ \boxed{a=3}\\\\\ b=\frac{8-2}{2}\\\\ b=\frac{6}{2}\\\\ \boxed{b=3}\\\\\ C(3,3)\\\\ (x-a)^2+(y-b)^2=r^2\\\\\ (x-3)^2+(y-3)^2=5^2\\\\ \boxed{(x-3)^2+(y-3)^2=25}$