How do you convert #x^2 + y^2 = 9# into polar form?

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How do you convert #x^2 + y^2 = 9# into polar form?

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Answer 1 · 2016-01-05T15:26:01

I found: #r=3#

Explanation:

Consider the following diagram:

enter image source here
We can see that the relationships between rectangular and polar coordinates are:
#r=sqrt(x^2+y^2)#
#theta=arctan(y/x)#
and:
#x=rcos(theta)#
#y=rsin(theta)#

Given our equation we can take the square root of both sides:
#sqrt(x^2+y^2)=sqrt(9)#
Using our relationship:
#r=3#

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How do you convert #x^2 + y^2 = 9# into polar form?

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