Posted by **batmo** on Monday, September 17, 2012 at 3:55pm.

Write the polar equation in rectangular form. r = 12 sin theta

Write the rectangular equation (x + 7)^2 + y^2 = 49 in polar form

- Calculus -
**Steve**, Monday, September 17, 2012 at 3:58pm
r = 12 sinθ

r^2 = 12r sinθ

x^2+y^2 = 12x

x^2 - 12x + y^2 = 0

(x-6)^2 + y^2 = 36

This one is just the reverse process:

(x+7)^2 + y^2 = 49

x^2 + 14x + y^2 = 0

x^2 + y^2 = -14x

r^2 = -14r cosθ

r = -14 cosθ

- Calculus -
**batmo**, Monday, September 17, 2012 at 4:02pm
thank you!

- Calculus -- OOPS! -
**Steve**, Monday, September 17, 2012 at 4:09pm
I mixed up x and y in the 1st one!

x^2+y^2 = 12y

x^2 - 12y + y^2 = 0

x^2 + (y-6)^2 = 36

Also, the 2nd one could just as well have been written r = 14cosθ. It would just draw the circle from the left, rather than from the right.

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