Coordinate System Homework: Find Distance and Polar Coords

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The discussion centers on a homework problem involving a bug's position in a two-dimensional Cartesian coordinate system, specifically at the coordinates (1.8, 0.8) m. Participants clarify that the distance from the corner of the room can be calculated using the Pythagorean theorem, which provides the radius in polar coordinates. The polar coordinates require both a radius and an angle, distinguishing them from Cartesian coordinates. The conversation emphasizes the difference between the two systems, noting that while they relate, they are not the same. Understanding this distinction is crucial for accurately solving the homework problem.
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Homework Statement


A bug is on one wall of a room. The lower left-hand corner of the wall is selected as the origin of a two-dimensional Cartesian coordinate system. The bug is located at the point having coordinates (1.8, .8) m

How far is it from the corner of the room?
What is it's location in polar coordinates?
r=?
theta=?

Homework Equations





The Attempt at a Solution



Aren't these two question asking for the same thing? I need to use the pythagorean theorem right?

Thank you very much
 
Last edited:
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The radius in the polar system is the distance - it also has a direction
 
Thank you very much

That makes sense, but aren't these two questions asking for the same thing?

Thank you
 
Last edited:
No, polar coordinates have both an angle and radius from origin.
 
Thank you very much

Regards
 

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