Classifying Polar Equations

Match the correct polar equation with the following graph:

• r=1+cosθ
• rsinθ=2
• r=1-2sinθ
• r=2

Identify the polar equation:
r=1+sinθ

• cardioid
• circle
• limacon with inner loop
• spiral

Classify the type of polar curve.

• Rose

• Cardiod

• Spiral of Archimedes

• Lemniscate

Which of the following could be the equation for...

• r = 6 + 6 sin θ

• r = 12 sin θ

• r = 6 - 6 sin θ

• r = 6 + 6 cos θ

Choose a correct equation for the red circle.

• r = -3
• r = -3sinΘ
• r = -3cosΘ
• x² + y² = 3

Which of these is an equation for this dimpled limaçon?

• r = 3 + 2 cosθ
• r = 2 + 3 cosθ
• r = 2 + 2cosθ
• r = 2 - 3cosθ

Choose the correct equation.

• r = 3 + 2 cosθ
• r = 2 + 3 cosθ
• r = 2 + 2cosθ
• r = 3cosθ

What is the equation?

• Θ = π/4

• Θ = -5π/4

• Θ = -3π/4

• Θ = 5π/4

Identify the polar equation:
r=1-3cosθ

• Limacon with inner loop
• Limacon without inner loop
• rose
• spiral

Identify the name of the polar graph:

• lemniscate

• rose curve

• cardioid

• sine curve