Convert to Polar Coordinates (2,pi)

Problem

(2,π)

Solution

1. Identify the given coordinates as rectangular coordinates (x,y) where x=2 and y=π

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

r=√(,2+π2)

r=√(,4+π2)

3. Determine the angle θ using the formula θ=atan2(y,x) Since x>0 we use θ=arctan(y/x)

θ=arctan(π/2)

4. Express the result in the polar coordinate form (r,θ)

Final Answer

(2,π)⇒(√(,4+π2),arctan(π/2))

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