Circle A has a center at #(3 ,1 )# and a radius of #1 #. Circle B has a center at #(-2 ,1 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them?
no overlap. distance = 1 unit.
The first step is to calculate the distance between the centres.
Here both centres have a y-coord = 1 , hence the line joining the centres is parallel to the x-axis
and it's length = 3 - (-2) = 3+ 2 = 5
now radius of A + radius of B = 1 + 3 = 4 which is < 5
hence there is no overlap.
distance between them = 5 - 4 = 1
By signing up, you agree to our Terms of Service and Privacy Policy
The circles do not overlap. The smallest distance between them is 2 units.
By signing up, you agree to our Terms of Service and Privacy Policy
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.
- A line passes through #(3 ,9 )# and #(5 ,8 )#. A second line passes through #(7 ,6 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- Circle A has a center at #(2 ,-1 )# and a radius of #4 #. Circle B has a center at #(-3 ,3 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them?
- Circle A has a center at #(5 ,4 )# and an area of #54 pi#. Circle B has a center at #(12 ,8 )# and an area of #25 pi#. Do the circles overlap?
- How do I find the angle between the planes #x + 2y − z + 1 = 0# and #x − y + 3z + 4 = 0#?
- A triangle has corners at #(1 ,5 )#, #(5 ,4 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7