Two circles have the following equations #(x +3 )^2+(y -6 )^2= 64 # and #(x +7 )^2+(y -3 )^2= 4 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
1 Answer
Aug 29, 2016
One circle contains the other
Explanation:
The distance between the centres (-2,6) and(-7 ,3) is 5 ..use Pythagoras
Radius of the first circle is 8 and of the second 2.
Draw a line through the centres and mark in where the radii cross the line to prove to yourself that one circle contains the other.
This all rests on our knowing the general equation of a circle