Engineering Board Exam Reviewer · Polar Coordinates · medium

Find the distance between the polar points (3,30°) and (5,90°).

1. 2
2. 8
3. 5.83
4. 4.36

Answer

D. 4.36

Solution

d2=r12+r22-2r1r2 ( 2- 1)=9+25-30 60°=19, so d=4.36.

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1. Convert the polar equation r=4 to rectangular form.
2. Convert the rectangular point (-3,3) to polar coordinates (r, ) with r>0 and 0°≤ <360°.
3. Convert the polar point (4,60°) to rectangular coordinates.
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5. Express the line x=4 in polar form.
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