Question

Find the polar coordinates in radians from the given rectangular coordinates (-11, -3).

Answer 1

the polar coordinates are:

(√130, 285.3°)

How to find the polar coordinates?

For rectangular coordinates (x, y), the polar coordinates are:

$R = \sqrt{x^2 + y^2}$

For the angle θ we need to notice that if both coordinates are negative, like in this case, we would be on the fourth quadrant, then:

θ = arctan(y/x) + 270°

In this case, we have:

x = -11

y = -3

Then:

$R = \sqrt{(-11)^2 + (-3)^2} = \sqrt{130} \\\\\theta = arctan(-3/-11) + 270\° = 285.3\°$

Then the polar coordinates are:

(√130, 285.3°)

If you want to learn more about polar coordinates:

brainly.com/question/14965899

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