Polar and Rectangular Forms

Find the polar coordinates of the rectangular point. (0,3)

• (3,π)
• (3,0)
• (3,π/2)
• (3,-3π/2)

Convert the rectangular coordinates to polar coordinates
(6√3, 6)

• (12, π/6)
• (6, 7π/6)
• (6, π/6)
• (12, 7π/6)

How do you write an ordered pair in polar coordinates?

• (X, Y)

• (θ, r)

• (r,θ)

• (Y_Y)

Convert the polar coordinates to rectangular form

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

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

• (4,4)
• (4,0)
• (0,4)
• (0,1)

Convert the polar coordinates to rectangular form.
(6, 2π/3)

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

Convert from polar to rectangular:

(5, 135^o)

• (-5√2/2, 5√2/2)

• (5√2/2, 5√2/2)

• (5√2/2, -5√2/2)

• (-5√2/2, -5√2/2)

Simplify:

√32

• 4√2

• 2√8

• 6

• 8√2

What is the radius to the following rectangular point:

(5, 2)

• 5

• 2

• √29

• √27

Convert from polar coordinates, (6, 5π/4) to rectangular coordinates.

• (-3√2, -3√2)

• (3√2, 3√2)

• (6.0, 0.4)

• (-6.0, -0.4)