Convert to Polar Coordinates (-4,0)

Problem

(−4,0)

Solution

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

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

r=√(,(−4)2+0)

r=√(,16)

r=4

3. Determine the angle θ by observing the position of the point on the Cartesian plane. Since the point (−4,0) lies on the negative x-axis, the angle is π radians or 180

θ=π

4. Combine the values of r and θ into the polar coordinate form (r,θ)

Final Answer

(−4,0)⇒(4,π)

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