Problem

The rectangular coordinates of a point are (10,0). Find the polar coordinates.

The polar coordinates for the point with positive r can be given by (Type an ordered pair. Use angle measures greater than or equal to 0 and less than 2π.)

Answer

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Answer

Final Answer: The polar coordinates of the point (10,0) are (10,π).

Steps

Step 1 :The rectangular coordinates of a point are (10,0). We are asked to find the polar coordinates.

Step 2 :The polar coordinates of a point in the plane are given by (r,θ) where r is the distance from the origin to the point and θ is the angle formed by the positive x-axis and the line segment connecting the origin to the point.

Step 3 :In this case, the point is (10,0), which lies on the negative x-axis. The distance from the origin to the point is 10 (the absolute value of 10), and the angle formed by the positive x-axis and the line segment connecting the origin to the point is π (or 180) because the point lies on the negative x-axis.

Step 4 :So, the polar coordinates of the point (10,0) are (10,π).

Step 5 :Final Answer: The polar coordinates of the point (10,0) are (10,π).

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