Circle A has a center at #(7 ,-5 )# and a radius of #1 #. Circle B has a center at #(4 ,2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them?
The circles don't overlap, and the smallest distance between them = 2.62
- First: using the formula :
#d=sqrt((x_1-x_2)^2+(y_1-y_2)^2)#
the distance between the two centers Second: Third: The smallest distance between them is the portion of the line connecting the two centers that doesn't fall in either circle. Or
The distance between the two centers > the sum of the two radii.
Meaning the circles don't overlap.
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Yes, the circles overlap. The smallest distance between them is 3 units.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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