Polar Coordinates and Graphs

Match the correct polar equation with the following graph:

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

Which point represents (2, π/6)

• F
• E
• B
• A

Tags

CCSS.HSN.CN.B.4

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

Convert the polar coordinates to rectangular form

• ( -3, 3)
• (3, 3√3)
• (-3, 3√3)
• (3, -3√3)

Tags

CCSS.HSN.CN.B.4

Find the rectangular coordinates of each polar point. (4, 3π/2)

• (4,4)

• (4,0)

• (0,-4)

• (0,1)

Tags

CCSS.HSN.CN.B.4

Convert the rectangular equation to polar form

• r² = 81
• r = 3
• r = 4.5
• r sin θ = 9

Tags

CCSS.HSN.CN.B.4

Choose a correct equation for the red circle.

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

Choose a correct equation for the blue circle.

• r = 2
• r = 4
• r = 2sinΘ
• x² + y² = 2

Tags

CCSS.HSN.CN.B.4

Which of these is an equation for this dimpled limaçon?

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