Conics in Polar Form

What is the equation?

• r = 4sin(Θ)

• r = -2sin(Θ)

• r = 2cos(Θ)

• r = -4cos(Θ)

The graph of r = 3 - 5cos(Θ) is a limacon with an inner loop. What is the diameter of the outer and inner loops?

• Outer Loop: 8, Inner Loop: 2

• Outer Loop: 4, Inner Loop: 1

• Outer Loop: 16, Inner Loop: 4

• Outer Loop: 15, Inner Loop: 2

What kind of graph will you get from r = 2 + 6cos(Θ)?

• A limacon with an inner loop

• A dimpled limacon

• A cardiod (heart)

• A circle

What kind of graph will you get from the equation r = 2 + 2cos(Θ)?

• A limacon with an inner loop

• A dimpled limacon

• A cardiod

• A flower

Choose a correct equation for the red circle.

• r = -3

• r = -3sinΘ

• r = -3cosΘ

• x² + y² = 3

Match the correct polar equation with the following graph:

• r=1+cosθ

• rsinθ=2

• r=1-2sinθ

• r=2

If r = 8/(4-8sin(Ø))  Identify the conic section

• Parabola

• Ellipse

• Hyperbola

• None

If r = 16/(4-2cos(Ø))  Identify the conic section

• Parabola

• Ellipse

• Hyperbola

• Neither

If r = 20/(4-3cos(Ø))  Identify the conic section

• Parabola

• Ellipse

• Hyperbola

• Neither

If r = 12/(4-5cos(Ø))  Identify the conic section

• Parabola

• Ellipse

• Hyperbola

• Neither