Free Printable Polar

1.

Which equation represents the polar graph?

a)

r = sin 4θ

b)

r = 6 sin 2θ

c)

r = 6 cos 2θ

d)

r = cos 4θ

2.

Which equation represents the polar graph?

a)

r = 6 + 6 sin θ

b)

r = 12 sin θ

c)

r = 4 - 3 sin θ

d)

r = 4 + 5 sin θ

3.

This particular equation generates what graph

a)

b)

c)

d)

4.

Choose a correct equation for this rose curve.

a)

r = sin(7θ)

b)

r = 7sin(2θ)

c)

r = 2sin(7θ)

d)

r = 2sin(14θ)

5.

Which equation below generates this particular graph?

a)

b)

c)

d)

6.

How do you write an polar coordinates as an ordered pair?

a)

(X,X)

b)

(θ, r)

c)

(r,θ)

d)

(Y,Y)

7.

Which point represents the coordinate $\left(-4,\ 30\degree\right)$

a)

B

b)

A

c)

C

d)

D

8.

When converting a polar coordinate to a rectangular coordinatee, the x coordinate is: x = ?

a)

rcosθ

b)

rsinθ

c)

x² + y²

d)

y/x, x ≠ 0

9.

When converting between rectangular and polar coordinates:

y = ?

a)

rcosθ

b)

rsinθ

c)

x² + y²

d)

y/x, x ≠ 0

10.

Convert the polar coordinates to rectangular form

a)

(1, 1)

b)

(1, -1)

c)

(-1, 0)

d)

(-1, -1)

11.

Which point represents (-4, 4π/3)

a)

F

b)

E

c)

B

d)

A

12.

Find the rectangular coordinates of the polar point. $\left(4,\ \frac{3\pi}{2}\right)$

a)

(4,4)

b)

(4,0)

c)

(0,-4)

d)

(0,1)

13.

Convert from polar coordinates, $\left(6,\frac{5\pi}{4}\right)$ to rectangular coordinates.

a)

$\left(-3\sqrt[]{2},-3\sqrt[]{2}\right)$

b)

$\left(3\sqrt[]{2},3\sqrt[]{2}\right)$

c)

$\left(-2\sqrt[]{2},\ -2\sqrt[]{2}\right)$

d)

(-6.0, -0.4)

14.

Convert to a rectangular equation: $r=5$

a)

$x+y=25$

b)

$x^2+y^2=25$

c)

$x^2+y^2=5$

d)

$x+y=5$

15.

Convert the polar coordinates to rectangular coordinates.

a)

b)

c)

d)

16.

Converting between rectangular and polar coordinates:
x = ?

a)

rcosθ

b)

rsinθ

c)

x² + y²

d)

y/x, x ≠ 0

17.

What is the equation of the graph?

a)

r=3

b)

r=3sinΘ

c)

r=3sinΘ+3cosΘ

d)

r=3cosΘ

18.

What is the equation?

a)

Θ = π/4

b)

Θ = -5π/4

c)

Θ = -3π/4

d)

Θ = 5π/4

19.

Convert to a rectangular equation: $r=12\csc\theta$

a)

$x+y=12$

b)

$x=12$

c)

$y=12$

d)

$x^2+y^2=144$

20.

Match the correct polar equation with the following graph:

a)

r=1+cosθ

b)

rsinθ=2

c)

r=1-2sinθ

d)

r=2

21.

Three of the following coordinates represent the same point. Which one represents a DIFFERENT point from the others?

a)

$\left(4,\frac{\pi}{3}\right)$

b)

$\left(4,-\frac{5\pi}{3}\right)$

c)

$\left(-4,\frac{5\pi}{3}\right)$

d)

$\left(-4,-\frac{2\pi}{3}\right)$

22.

Which letter represents the point

(-4,\frac{4π}{3})

?

a)

F

b)

E

c)

B

d)

A

23.

Find the rectangular coordinates of the polar point:

$(4,\frac{3π}{2})$

a)

$(4,4)$

b)

$(4,0)$

c)

$(0,-4)$

d)

$(0,1)$

24.

Check all the correct answers. What are the polar coordinates for Point D?

a)

$\left(4,\frac{7\pi}{6}\right)$

b)

$\left(-4,\frac{\pi}{6}\right)$

c)

$\left(-4,\frac{13\pi}{6}\right)$

d)

$\left(4,\frac{\pi}{6}\right)$

25.

Choose the correct graph of the polar point $\left(2,\frac{\pi}{4}\right)$ .

a)

b)

c)

d)

26.

Graph the point on the polar grid $\left(-2,\frac{3\pi}{2}\right)$

a)

b)

c)

d)

Don't choose this one!

27.

Convert the equation $r=6\cos\theta$ to rectangular form.

a)

$x^2+y^2=6$

b)

$\left(x-3\right)^2+y^2=9$

c)

$x^2+\left(y-3\right)^2=9$

d)

$x=6$

28.

Find the graph of the equation $r=7\cos4\theta$

a)

b)

c)

d)

Polar

Total questions: 28

Worksheet time: 3hrs 25mins

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