# Lesson Worksheet: Polar Coordinates Mathematics

In this worksheet, we will practice plotting points in polar coordinates and graphing polar equations.

Q1:

Identify which of the points plotted on the graph has polar coordinates . • A
• B
• C
• D
• E

Q2:

Which of the ordered pairs , , , and does not describe the position of Point in the diagram? • A
• B
• C
• D

Q3:

Which of the ordered pairs , , , and does not describe the position of Point in the diagram? • A
• B
• C
• D

Q4:

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

• A
• B
• C
• D
• E

Q5:

Given that point can be expressed in polar form as , which of the following is an equivalent expression for point in polar form?

• A
• B
• C
• D
• E

Q6:

Find the distance between the points with the polar coordinates and . Round your answer to two decimal places.

Q7:

True or False: In the polar coordinate system, each point has only one representation like in the Cartesian coordinate system.

• AFalse
• BTrue

Q8:

True or False: The distance between the points with the polar coordinates and is 1.02, rounding to two decimal places.

• ATrue
• BFalse

Q9:

True or False: The representation of the point is the same as .

• ATrue
• BFalse

Q10:

Consider the polar coordinates and , as shown in the figure. Find the angle between the two lines.

• A
• B
• C

Use the law of cosines to find the length of . Give your answer accurate to two decimal places.