Free Printable Polar Equations

1.

This particular equation generates what graph

a)

b)

c)

d)

2.

What is the equation?

a)

r = 4sin(Θ)

b)

r = -2sin(Θ)

c)

r = 2cos(Θ)

d)

r = -4cos(Θ)

3.

Which point represents (5, π)

a)

F

b)

E

c)

B

d)

A

4.

Which point represents (3, 3π/4)

a)

F

b)

E

c)

B

d)

A

5.

Which point represents the polar coordinate
(-4, -2π/3)

a)

B

b)

F

c)

D

d)

A

6.

Which equation represents the polar graph?

a)

r = sin 4θ

b)

r = 6 sin 2θ

c)

r = 6 cos 4θ

d)

r = cos 4θ

7.

Which equation below generates this particular graph?

a)

b)

c)

d)

8.

Determine the polar equation of the given graph.

a)

r² = -9sin(2θ)

b)

r² = 9cos(2θ)

c)

r² = -9cos(2θ)

d)

r² = 9sin(2θ)

9.

Choose the correct equation for the graph.

a)

$r\ =\ 0.5\ \sin\ 2\theta$

b)

$r\ =\ 0.5\ \cos\ 2\theta$

c)

$r\ =\ 3\ \sin\ 2\theta$

d)

$r\ =\ \sin\ 4\theta$

10.

Choose the right equation for this graph.

a)

$r\ =\ 2\ \cos\ \theta$

b)

$r\ =\ 2\ \sin\ \theta$

c)

$r\ =\ 2\ \sec\ \theta$

d)

$r\ =\ 2\ \csc\theta$

11.

Choose the right equation for this graph.

a)

$r\ =\ 2\ \cos\ \theta$

b)

$r\ =\ 2\ \sin\ \theta$

c)

$r\ =\ 2\ \sec\ \theta$

d)

$r\ =\ 2\ \csc\theta$

12.

Choose the right equation for this graph.

a)

$r\ =\ 3\ \cos\ \theta$

b)

$r\ =\ 3\ \sin\ \theta$

c)

$r\ =\ 3$

d)

$\theta\ =\ 3$

13.

Choose the right equation for this graph.

a)

$r\ =\ 3\ \cos\ \theta$

b)

$r\ =\ 3\ \sin\ \theta$

c)

$\theta\ =\ \frac{\pi}{3}$

d)

$\theta\ =\ 3$

14.

Choose the right equation for this graph.

a)

$r\ =\ 6\ \cos\ \theta$

b)

$r\ =\ 6\ \sin\ \theta$

c)

$\theta\ =\ \frac{\pi}{6}$

d)

$\theta\ =\ 6$

15.

What is the equation?

a)

r = 4

b)

r = 8

c)

r = 4sin(Θ)

d)

r = 8sin(Θ)

16.

Select the correct polar equation that represents the graph shown.

a)

$r=1.5\sin\theta$

b)

$r=-1.5\sin\theta$

c)

$r=1.5\cos\theta$

d)

$r=-1.5\cos\theta$

17.

Which letter represents the point

(2,\frac{π}{6})

?

a)

F

b)

E

c)

B

d)

A

18.

What type(s) of symmetry does the following function have?

a)

The line $\ \theta=\frac{\pi}{2}$

b)

Polar Axis

c)

Pole

19.

What type(s) of symmetry does the following function have?

a)

The line $\theta=\frac{\pi}{2}$

b)

Polar Axis

c)

Pole

20.

What type(s) of symmetry does the following function have?

a)

The line $\theta=\frac{\pi}{2}$

b)

Polar Axis

c)

Pole

21.

Identify the type(s) of symmetry of the following function.

a)

The line $\theta=\frac{\pi}{2}$

b)

Polar Axis

c)

Pole

22.

Identify the type(s) of symmetry of the following function.

a)

The line $\theta=\frac{\pi}{2}$

b)

Polar Axis

c)

Pole

23.

Identify the type(s) of symmetry for the following function.

a)

The line $\theta=\frac{\pi}{2}$

b)

Polar Axis

c)

Pole

Polar Equations

Total questions: 23

Worksheet time: 59mins

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