Convert to Polar Coordinates (-3,0)

Problem

(−3,0)

Solution

1. Identify the Cartesian coordinates (x,y) where x=−3 and y=0

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

r=√(,(−3)2+0)

r=√(,9)

r=3

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

θ=π

4. Represent the point in polar form (r,θ)

(r,θ)=(3,π)

Final Answer

(−3,0)⇒(3,π)

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