An ordinary rectangle of sides x and y has area x y, no matter where it is located in the plane However, the area of a polar rectangle of sides r and depends on its distance from the origin How is this difference reflected in the Change of Variables Formula for polar coordinates ...

The area AA of a small polar rectangle is 1 ...

An ordinary rectangle of sides x and y has area x y, no matter where it is

Question:

An ordinary rectangle of sides Δx and Δy has area Δx Δy, no matter where it is located in the plane. However, the area of a polar rectangle of sides Δr and Δθ depends on its distance from the origin. How is this difference reflected in the Change of Variables Formula for polar coordinates?

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