Question

The Cartesian coordinates of a point in the xy-plane are (x, y) = (-3.06, -2.24) m. Find the polar coordinates of this point. r = θ =

Answer 1

The relationship between the 2-dimensional
polar and Cartesian coordinates is:

R = √(x² + y²)

Θ = tan⁻¹ (y/x)

R = √[ (-3.06)² + (-2.24)² ] = √(9.36 + 5.02) = 14.38 m (rounded)

Θ = tan⁻¹ [ (-2.24) / (-3.06) ] = tan⁻¹ (0.732) = 36.2° (rounded)