Convert to Polar Coordinates (4,0)

Problem

(4,0)

Solution

1. Identify the given Cartesian coordinates (x,y) where x=4 and y=0

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

r=√(,4+0)

r=√(,16)

r=4

3. Determine the angular coordinate θ using the relationship tan(θ)=y/x

tan(θ)=0/4

tan(θ)=0

4. Evaluate the angle θ based on the position of the point on the Cartesian plane. Since the point (4,0) lies on the positive x-axis, the angle is 0

θ=0

Final Answer

(4,0)⇒(4,0)

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