Convert to Polar Coordinates (-5,3)

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Trigonometry

$(- 5, 3)$

Convert from rectangular coordinates $(x, y)$ to polar coordinates $(r, θ)$ using the conversion formulas.

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

$θ = t a n^{- 1} (\frac{y}{x})$

Replace $x$ and $y$ with the actual values.

$r = \sqrt{{(- 5)}^{2} + {(3)}^{2}}$

$θ = t a n^{- 1} (\frac{y}{x})$

Find the magnitude of the polar coordinate.

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Raise $- 5$ to the power of $2$ .

$r = \sqrt{25 + {(3)}^{2}}$

$θ = t a n^{- 1} (\frac{y}{x})$

Raise $3$ to the power of $2$ .

$r = \sqrt{25 + 9}$

$θ = t a n^{- 1} (\frac{y}{x})$

Add $25$ and $9$ .

$r = \sqrt{34}$

$θ = t a n^{- 1} (\frac{y}{x})$

$r = \sqrt{34}$

$θ = t a n^{- 1} (\frac{y}{x})$

Replace $x$ and $y$ with the actual values.

$r = \sqrt{34}$

$θ = t a n^{- 1} (\frac{3}{- 5})$

The inverse tangent of $- \frac{3}{5}$ is $θ = 149.03624346 °$ .

$r = \sqrt{34}$

$θ = 149.03624346 °$

This is the result of the conversion to polar coordinates in $(r, θ)$ form.

$(\sqrt{34}, 149.03624346 °)$

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Name

Name	four hundred fifty-nine million three hundred twenty-eight thousand five hundred ninety-five

Interesting facts

459328595 has 4 divisors, whose sum is 467680080
The reverse of 459328595 is 595823954
Previous prime number is 55

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 50
Digital Root 5

Name

Name	three hundred fifty-three million eight hundred fifty-one thousand seven hundred eighty-six

Interesting facts

353851786 has 4 divisors, whose sum is 530777682
The reverse of 353851786 is 687158353
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 46
Digital Root 1

Name

Name	one billion two hundred sixty million six hundred forty-two thousand two hundred forty-three

Interesting facts

1260642243 has 16 divisors, whose sum is 1927126016
The reverse of 1260642243 is 3422460621
Previous prime number is 313

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 30
Digital Root 3

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