Question

escriba la ecuacion ordinaria y general de la circunferencia que tiene c(4/5,-2/5), r=7/2

Answer 1

Datos
$C( \frac{4}{5}, -\frac{2}{5})$
        ↓     ↓
        h     k
$r= \frac{7}{2}$
Ecuacion ordinaria
$(x-h) ^{2} +(y-k)^2=r^2$
$(x- \frac{4}{5})^{2}+(y-(- \frac{2}{5} ))^{2} = (\frac{7}{2})^{2}$
$(x- \frac{4}{5})^{2}+(y+\frac{2}{5} )^{2} = (\frac{7}{2})^{2}$
Ecuación general
$(x- \frac{4}{5})^{2}+(y+\frac{2}{5} )^{2} = (\frac{7}{2})^{2}$
desarrollando los binomios al cuadrado
$x^{2} - \frac{8}{5}x+ \frac{16}{25}+y^{2}+ \frac{4}{5}y+ \frac{4}{25}= \frac{49}{4}$