Convert to Polar Coordinates (0,-2)

Problem

(0,−2)

Solution

1. Identify the given rectangular coordinates (x,y) where x=0 and y=−2

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

r=√(,0+(−2)2)

r=√(,4)

r=2

3. Determine the angular coordinate θ by observing the position of the point on the Cartesian plane. Since the point (0,−2) lies on the negative yaxis, the angle is 270 or (3*π)/2 radians.

θ=(3*π)/2

4. Express the result as the polar coordinate pair (r,θ)

(r,θ)=(2,(3*π)/2)

Final Answer

(0,−2)⇒(2,(3*π)/2)

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