Question

Show that the equation represents a circle by rewriting it in standard form.

x^2+y^2-(1/4x)+(1/4y)=(1/32)

Answer 1

Complete the square for both x and y terms..
(x^2-(1/4)x+(1/64)) + (y^2+(1/4)y+(1/64))=(1/32)+(1/64)+(1/64)
(x-(1/8))^2+(y+(1/8))^2 = 1/16

Center = (1/8,-1/8)
Radius = 1/4