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What is the distance between the following polar coordinates?: # (1,pi), (-1,pi) #

Answer 1

Aurora Alvarado

The answer is 2 units

A circle with radius 1 means this is a unit circle !

Now, #pi# radians is the same as 180 degrees which puts #(1,pi)# at the cartesian coordinate of #(-1,0)#.

Similarly, #(-1,pi)# is at the cartesian coordinate of #(1,0)#.

The distance between these two coordinates is simply 2 units .

hope that helps

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Answer 2

Christopher Allers

The distance between the polar coordinates ( (1, \pi) ) and ( (-1, \pi) ) is 2 units.

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Answer from HIX Tutor

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.