transform the polar equation to an equation in rectangular coordinates. then identify and graph the…

transform the polar equation to an equation in rectangular coordinates. then identify and graph the equation.\nr = 11\nwhat is the standard form of the equation in rectangular form?

transform the polar equation to an equation in rectangular coordinates. then identify and graph the equation.\nr = 11\nwhat is the standard form of the equation in rectangular form?

Answer

Explanation:

Step1: Recall the relationship between polar and rectangular coordinates

We know that (x = r\cos\theta), (y = r\sin\theta), and (r^{2}=x^{2}+y^{2}).

Step2: Square both sides of the given polar equation

Given (r = 11), squaring both sides gives (r^{2}=121).

Step3: Substitute (r^{2}=x^{2}+y^{2})

Since (r^{2}=x^{2}+y^{2}), substituting into (r^{2}=121) gives (x^{2}+y^{2}=121).

Answer:

(x^{2}+y^{2}=121)