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Convert the Cartesian equation to the polar equation

  • #1
251
11

Homework Statement


Replace the Cartesian equation with an equivalent polar equation.
##x^2 + (y - 18)^2 = 324##
a)##r = 36 sin θ##
b)##r^2 = 36 cos θ##
c)##r = 18 sin θ##
d)##r = 36 cos θ##

Homework Equations


##x= r cos \theta ##
##y= r sin \theta ##
##x^2 + y^2 = r^2 ##

The Attempt at a Solution


##x^2 + (y - 18)^2 = 324##
##x^2 + y^2 - 2*18*y + 18^2 = 324 ##
##x^2 + y^2 - 36 y =0##
##r^2 = 36 y##
Divide by r :
##r = 36 r sin \theta##
So , the answer is (a) .Right ?
 

Answers and Replies

  • #2
stevendaryl
Staff Emeritus
Science Advisor
Insights Author
8,401
2,578
Your derivation looks right to me.
 

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