# How do you convert the rectangular coordinate #(-4.26,31.1)# into polar coordinates?

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To convert the rectangular coordinates ((-4.26, 31.1)) into polar coordinates, you can use the following formulas:

[ r = \sqrt{x^2 + y^2} ] [ \theta = \arctan\left(\frac{y}{x}\right) ]

Where:

- ( r ) is the distance from the origin to the point.
- ( \theta ) is the angle between the positive x-axis and the line connecting the origin to the point.

Plugging the values ((-4.26, 31.1)) into these formulas:

[ r = \sqrt{(-4.26)^2 + (31.1)^2} ] [ r = \sqrt{18.1476 + 967.21} ] [ r = \sqrt{985.3576} ] [ r \approx 31.39 ]

[ \theta = \arctan\left(\frac{31.1}{-4.26}\right) ] [ \theta = \arctan(-7.2976) ] [ \theta \approx -80.49^\circ ]

Therefore, the polar coordinates of ((-4.26, 31.1)) are approximately ((31.39, -80.49^\circ)).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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