Circle A has a center at #(11 ,5 )# and an area of #100 pi#. Circle B has a center at #(4 ,9 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them?
circles overlap
substitute these values into the formula to find d
Now, require to find the radii of circles A and B, given that the areas are known.
radius of circle A + radius of circle B = 10 + 6 = 16
since sum of radii > distance between centres → overlap
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The circles do not overlap. The shortest distance between them can be found by calculating the distance between the centers of the circles and subtracting the sum of their radii. For Circle A with center (11, 5) and Circle B with center (4, 9), the distance between their centers is approximately 7.8102 units. The sum of their radii is approximately 5.64 units. Therefore, the shortest distance between the circles is approximately 2.1702 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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