Which statement correctly describes the relationship between Rho and Theta in the Rho-Theta coordinate system?

Which statement correctly describes the relationship between Rho and Theta in the Rho-Theta coordinate system?

• A. Rho is distance and Theta is angle
• B. Rho is angle and Theta is distance
• C. Rho is time and Theta is distance
• D. Rho is distance and Theta is velocity

Answer: (A)

In polar (Rho-Theta) coordinates, Rho is the radial distance from the origin to the point, and Theta is the angle of that radius relative to a reference direction. This describes position by how far away you are and which direction from the origin you’re pointing. You can convert to Cartesian coordinates with x = Rho cos(Theta) and y = Rho sin(Theta). The distance is not an angle, and the angle is not distance, so the other options don’t fit.

In polar (Rho-Theta) coordinates, Rho is the radial distance from the origin to the point, and Theta is the angle of that radius relative to a reference direction. This describes position by how far away you are and which direction from the origin you’re pointing. You can convert to Cartesian coordinates with x = Rho cos(Theta) and y = Rho sin(Theta). The distance is not an angle, and the angle is not distance, so the other options don’t fit.