Two circles have the following equations #(x +8 )^2+(y -6 )^2= 64 # and #(x +4 )^2+(y -3 )^2= 144 #. 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
No. Greatest possible distance between a point in one circle
and a point in other circle is
Explanation:
Centre of first circle
and radius is
Centre of second circle
and radius is
distance between their centers is between the sum
and the difference
So one circle does not contain on other , they intersect at two
points. Greatest possible distance between a point in one circle
and a point in other circle is
units. [Ans]