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Introduction to Polar Graphs

Explore the basics of polar coordinates and graphing polar equations with this Grade 10 math worksheet.

Grade 10 Math GeometryPolar Graphs
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Includes

Fill in the BlanksShort AnswerMultiple ChoiceLong Answer

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSF.IF.C.7.E

Topics

polar graphspolar coordinatesmathgeometrygrade 10
6 sections · Free to use · Printable
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Introduction to Polar Graphs

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. In a polar coordinate system, a point is defined by its distance from the origin (r) and its   (θ).

2. The origin in a polar coordinate system is also known as the  .

3. The positive x-axis in a Cartesian coordinate system corresponds to the   axis in a polar coordinate system.

1. Plot the polar coordinate (3, π/4) on the polar grid below.

2. Convert the polar coordinate (4, π/2) to its equivalent Cartesian coordinate.

1. Which of the following represents the same point as (2, 3π/2) in polar coordinates?

a

(2, -π/2)

b

(-2, π/2)

c

(2, π/2)

d

(-2, 3π/2)

2. The equation r = 5 represents what shape in polar coordinates?

a

A straight line

b

A circle centered at the origin

c

A parabola

d

An ellipse

1. Sketch the graph of the polar equation r = 4sin(θ).