# Lesson Worksheet: Polar Coordinates Mathematics • 12th Grade

In this worksheet, we will practice defining and plotting points given in polar coordinates and converting between the Cartesian and polar coordinates of a point.

Q1:

Consider the points plotted on the graph. Write down the polar coordinates of , giving the angle in the range .

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Q2:

Identify which of the points plotted on the graph has polar coordinates . • A
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Q3:

Which of the ordered pairs , , , and does not describe the position of Point in the diagram? • A
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Q4:

Which of the ordered pairs , , , and does not describe the position of Point in the diagram? • A
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Q5:

Find the Cartesian coordinates of the point .

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Q6:

Given that the polar coordinates of point are , find the Cartesian coordinates of .

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Q7:

Convert to polar coordinates. Give the angle in degrees and round to one decimal place.

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Q8:

Represent the point with Cartesian coordinates in terms of polar coordinates.

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Q9:

Convert to polar coordinates. Give the angle in radians and round to two decimal places.

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Q10:

Find the distance between the polar coordinates and . Give your answer accurate to two decimal places.

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