Polar Coordinates

Polar Coordinates Warmup

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

3 4 5 6

by Brilliant Staff

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

\frac{\pi}{2}

\pi

0

\frac{\pi}{6}

by Brilliant Staff

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

(1, \frac{3\pi}{2})

(0, \frac{\pi}{2})

(1, \frac{\pi}{2})

(0, \frac{3\pi}{2})

by Brilliant Staff

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

(-1, 2\pi)

(-1, \pi)

by Brilliant Staff

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

(-5, 2\pi)

(5, \pi)

(5, 0)

by Brilliant Staff

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