Convert to Polar Coordinates (2,2)

Problem

(2,2)

Solution

1. Identify the Cartesian coordinates (x,y) where x=2 and y=2

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

r=√(,2+2)

r=√(,4+4)

r=√(,8)

r=2√(,2)

3. Calculate the angle θ using the formula θ=arctan(y/x) Since the point is in the first quadrant, no adjustment is needed.

θ=arctan(2/2)

θ=arctan(1)

θ=π/4

Final Answer

(2,2)⇒(2√(,2),π/4)

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