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Polar Coordinates

Polar coordinates are a way to describe where a point is on a plane. Instead of using x and y, you use the angle theta and radius r, to describe the angle and distance of the point from the origin.

Polar Coordinates Warmup

         

The point \(P\) has Cartesian coordinates \((3, 4)\) and polar coordinates \((r, \theta).\) What is the value of \(r\)?

The point \(P\) has Cartesian coordinates \((0, 1)\) and polar coordinates \((r, \theta).\) What is the value of \(\theta\) (in radians)?

What are the polar coordinates of the point whose Cartesian coordinates are \((0, 1)?\)

The point \(P\) has polar coordinates \((1, 0).\) The answer choices are the polar coordinates of various points - which one is also at \(P?\)

What are the polar coordinates of the point having Cartesian coordinates \((5, 0)?\)

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