Convert to Polar Coordinates (0,6)

Problem

(0,6)

Solution

1. Identify the Cartesian coordinates (x,y) where x=0 and y=6

2. Calculate the radial coordinate r using the formula r=√(,x2+y2)

r=√(,0+6)

r=√(,36)

r=6

3. Determine the angular coordinate θ Since x=0 and y is positive, the point lies on the positive y-axis.

θ=π/2

4. Combine the values into the polar coordinate pair (r,θ)

(r,θ)=(6,π/2)

Final Answer

(0,6)⇒(6,π/2)

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