A point in rectangular coordinates is given.Convert the point to polar coordinates.Round your answers to two decimal places,r 0. $( 11,13 )$
A)Polar coordinates: $( \sqrt { 290 } , - 0.87 )$
B)Polar coordinates: $( \sqrt { 11 } , - 0.87 )$
C)Polar coordinates: $( \sqrt { 13 } , 0.87 )$
D)Polar coordinates: $( \sqrt { 11 } , 0.87 )$
E)Polar coordinates: $( \sqrt { 290 } , 0.87 )$

Question

A point in rectangular coordinates is given.Convert the point to polar coordinates.Round your answers to two decimal places,r > 0.​ $( 11,13 )$ ​
A)Polar coordinates: $( \sqrt { 290 } , - 0.87 )$
B)Polar coordinates: $( \sqrt { 11 } , - 0.87 )$
C)Polar coordinates: $( \sqrt { 13 } , 0.87 )$
D)Polar coordinates: $( \sqrt { 11 } , 0.87 )$
E)Polar coordinates: $( \sqrt { 290 } , 0.87 )$

Quizplus · Accepted Answer

To convert from rectangular coordinates $(x, y)$ to polar coordinates $(r, \theta)$, use the formulas $r = \sqrt{x^2 + y^2}$ and $\theta = \tan^{-1}\left(\frac{y}{x}\right)$. For the point $(11, 13)$, $r = \sqrt{11^2 + 13^2} = \sqrt{290}$ and $\theta \approx \tan^{-1}\left(\frac{13}{11}\right) \approx 0.87$ radians.

A Point in Rectangular Coordinates Is Given (11,13)( 11,13 )(11,13) ​ A)Polar Coordinates

A Point in Rectangular Coordinates Is Given $( 11,13 )$
A)Polar Coordinates