What is the polar form of $( 19,55 )$ ?

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Answer 1 · 2016-04-06T19:29:52

Cartesian form: $(x,y)=(19,55)$
Polar form: $(r,theta)= (58.2,71^@)$

$r=sqrt(x^2+y^2)$

$theta = arctan(y/x)$

Answer 2 · 2016-04-06T19:37:24

≈ (58.19 ,1.238 )

To convert from Cartesian to Polar coordinates , use the formulae which links them.

$• r = sqrt(x^2 + y^2)$

$• theta = tan^-1(y/x)$

here x = 19 and y = 55

$rArr r = sqrt(19^2 + 55^2) = sqrt3386 ≈ 58.19$

and $theta = tan^-1(55/19) ≈ 1.238" rad " (70.94^@)$

What is the polar form of ( 19,55 )( 19,55 )?