Question

Convert the equation, $x^2 + y^2 = 16$, from rectangular coordinates into polar coordinates. Solve for $r$. 

          Convert the equation, $x^2 + y^2 = 16$, from rectangular coordinates into polar coordinates. Solve for $r$.
Convert the equation, x^2 + y^2 = 16, from rectangular coordinates into polar coordinates. Solve for r.

Added by Vicente C.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Convert the equation, x^(2)+y^(2)=16, from rectangular coordinates into polar coordinates. Solve for r. r( heta )= Convert the equation+y=16, from rectangular coordinates into polar coordinates.Solve for r. T(O)
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Transcript

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00:01 So suppose i have the given polar equations, r equals 1, r equals negative 2, and r equals 3, and i want to convert to rectangular coordinates.
00:12 Well, what are some equations that represent polar and rectangular? well, i know that x squared plus y squared equals r squared, tangent of theta equals y over x, right? i know that x is r times cosine of theta, and y is r times sine of theta.
00:27 So i can use any of these.
00:29 One way to think about this is i can multiply both sides by r, right? or i could raise both sides to the second power...
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