Question 818144: One question i have is to convert from polar to rectangular
the polar equation is r = 100 I have to convert to rectangular equation.
the answer is suppose to be is x^2+y^2 = 10000
how did the book get this answer. thank you for your help
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! the problem statement is incomplete.
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r = 100 is only one dimension (the radius of a polar point), we also need to know the second dimension, the polar angle of the point or points.
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in this case, because the answer is the equation of a circle, the polar angle is actually the infinite set of all angles between 0 and 360 (polar).
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the general equation for a circle in rectangular coordinates is:
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(x-a)^2 + (y-b)^2 = r^2
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where (a,b) is the center of the circle.
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since the center is not given in the problem statement, let's place the circle at (0,0)
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(x-0)^2 + (y-0)^2 = 100*100
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answer:
x^2 + y^2 = 10000
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