What is the equation of the circle with a center at #(2 ,5 )# and a radius of #6 #?

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 ,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 #?
What is the equation of the circle with a center at #(2 ,1 )# and a radius of #2 #?

8042 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-07T04:16:39

#(x-2)^2+(y-5)^2=36#

The standard equation of a circle with center at #(h,k)# and radius #r# is given by

#(x-h)^2+(y-k)^2=r^2.# We're given #(h,k)=(2,5), r=6#

So, the equation is

#(x-2)^2+(y-5)^2=6^2#

#(x-2)^2+(y-5)^2=36#