What is the equation of the circle with a center at #(-4 ,6 )# and a radius of #3 #?

Question

How do you write the general form given a circle that passes through the given points. P(-2, 0),...
What is the equation of the circle with a center at #(7 ,1 )# and a radius of #2 #?
What is the equation of the circle with a center at #(3 ,1 )# and a radius of #2 #?
What is the equation of the circle with a center at #(3 ,1 )# and a radius of #1 #?
What is the equation of the circle with a center at #(3 ,5 )# and a radius of #1 #?
What is the equation of the circle with a center at #(3 ,5 )# and a radius of #6 #?
What is the equation of the circle with a center at #(2 ,5 )# and a radius of #6 #?
What is the equation of the circle with a center at #(2 ,2 )# and a radius of #4 #?
What is the equation of the circle with a center at #(2 ,2 )# and a radius of #3 #?
What is the equation of the circle with a center at #(2 ,1 )# and a radius of #3 #?

2117 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-25T17:59:38

#x^2+y^2+8x-12y+43=0#

Eqn. of a circle with centre #(h,k) and radius=r# is given by,

#(x-h)^2+(y-k)^2=r^2#

In our case, the eqn. is, #(x+4)^2+(y-6)^2=3^2#, i.e.,

#x^2+y^2+8x-12y+43=0#