Question

Circle A has a center at `(2 ,5 )` and a radius of `2`. Circle B has a center at `(4 ,-1 )` and a radius of `6`. Do the circles overlap? If not, what is the smallest distance between them?

Answer 1

Yes

Explanation:

If you make a right angled triangle between the two centres, using the line that joins them as the hypotenuse. The height of the triangle is 6 and the base is 2. Using Pythagoras the hypotenuse would be `sqrt40` = approx 6.3 cm. If the distance between the centres is 6.3 and one radius is 6 and the other is 2 then they do overlap.