Engineering Board Exam Reviewer · Polar Coordinates · easy

Convert the rectangular point (-3,3) to polar coordinates (r, ) with r>0 and 0°≤ <360°.

1. (3 2,45°)
2. (3 2,135°)
3. (3 2,225°)
4. (6,135°)

Answer

B. (3 2,135°)

Solution

r=sqrt((-3)2+32)=3 2. The point is in Quadrant II, so =180°-45°=135°.

More Polar Coordinates questions

1. Convert the polar point (4,60°) to rectangular coordinates.
2. Find the point of intersection, with 0°< <90°, of the curves r=2 and r=4 .
3. Express the line x=4 in polar form.
4. Find the eccentricity of the conic r=6/2+ .
5. Identify the conic r=3/1+ .
6. Find the distance between the polar points (3,30°) and (5,90°).
7. Convert the polar equation r=4 to rectangular form.

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