Question: Why are do polar equations represent circles? We are usually given the radius, how can we interpret it as a graph of a function? For

Why are do polar equations represent circles? We are usually given the radius, how can we interpret it as a graph of a function? For example if y=1+cos(x), we get trigonometric function as the graph, but when we get r=1+cos(x), it is a circle. What are the steps to graph polar curve with r= 1+cos(x)?

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