How do you convert the Cartesian coordinates (-9,-4) to polar coordinates?

1 Answer
Binayaka C.
Jun 1, 2018

Polar coordinates are (sqrt 97,203.96^0)

Explanation:

Rectangular coordinates :(x,y)=(-9,-4)

r=sqrt(x^2+y^2) = sqrt (81+16) =sqrt 97 ; tan alpha=|y/x|=4/9

:. alpha=tan^-1(4/9)=23.96^0 Since :(-9,-4) lies on 3rd

quadrant theta=180+alpha=(180+23.96)=203.96^0

Hence Polar coordinates are (r,theta) or

(sqrt 97,203.96^0) [Ans]

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