How do you write the polar equation #r=2# in rectangular form?

Question

22506 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-05T18:37:22

Please see the explanation.

square both sides:

#r^2 = 2^2#

Substitute #x^2 + y^2# for #r^2#

#x^2 + y^2 = 2^2#

This the rectangular from of the equation of a circle with radius 2.

Answer 2 · 2016-12-05T18:37:42

#x^2 +y^2 =4#

Write #r^2=4#. Since #r^2= x^2 +y^2#, the given equation would become #x^2 +y^2 =4# in rectangular form