17
RCMultiple Choice

Unit Test — Cumulative exam

Question 17 • TX-Pre-Calculus

Convert the rectangular coordinates (11,-4) to polar coordinates.

Answer
A
(11.7, -20)
B
(11.7, 70)
C
(10.2, -20)
D
(10.2, 70)

Explanation

For (x, y) = (11, −4), the radius is r = √(11² + (−4)²) = √137 ≈ 11.7. The angle is θ = arctan(−4/11) ≈ −20°, so the polar coordinates are (11.7, −20), choice (11.7, −20).

AI-written and checked against the verified answer.

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