How do you write the equation of the circle with Center (0, 0), radius = 6?

1 Answer
Jun 1, 2016

Answer:

#x^2+y^2=36#

Explanation:

The general equation of a circle with center #(color(red)(a),color(blue)(b))# and radius #color(green)(r)# is
#color(white)("XXX")(x-color(red)(a))^2+(y-color(blue)(b))^2=color(green)(r)^2#

Sustituting
#color(white)("XXX")color(red)(0)# for #color(red)(a)#
#color(white)("XXX")color(blue)(0)# for #color(blue)(b)# and
#color(white)("XXX")color(green)(6)# for #color(green)(r)#
gives the Answer (above)