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Subject:  Trigonometry

Convert (3, 4) to polar coordinates

Find the radius and angle of a point given in Cartesian coordinates.

Answer (r, θ) = (5, 53.1301°) = (5, 0.927295 rad)

Solution

  1. Cartesian point (3, 4)
  2. Radius r = √(x² + y²) = √(9 + 16) = 5
  3. Angle θ = atan2(y, x) = 53.1301° = 0.927295 rad

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