# Convert to polar coordinates. (3, 3)

Convert to polar coordinates. (3, 3)
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Given coordinate is (3, 3). We have to convert given coordinate into polar coordinate. In Polar form coordinate is given as $\left(r,\theta \right)$. We know that in polar coordinates, we have $tan\theta =\frac{y}{x}andr=\sqrt{{x}^{2}+{y}^{2}}$ Therefore, $\mathrm{tan}\theta =\frac{3}{3}$ $\mathrm{tan}\theta =1$ $\theta ={\mathrm{tan}}^{-}1\left(1\right)\theta \frac{\pi }{4}$

Here $\theta =\frac{\pi }{4}$ is in the first quadrant. So r will be positive. Therefore, $r=\sqrt{{x}^{2}+{y}^{2}}$ $=\sqrt{{3}^{2}+{3}^{2}}$ $=\sqrt{9+9}$ $=\sqrt{18}$ $=3\sqrt{2}$ Therefore, . Hence, polar coordinates will be $\left(3\sqrt{2},\frac{\pi }{4}\right)$.