Understanding Polar Coordinates and Equations

What is the form of ordered pairs in the polar coordinate system?

• (R, Theta)

• (X, Y)

• (Theta, R)

• (A, B)

How is a point represented in the polar coordinate system when R is negative?

• By ignoring the negative sign

• By moving backward from the angle

• By moving forward from the pole

• By using a different angle

Which of the following is true about a point in the polar coordinate system?

• It can only be represented by one ordered pair

• It is always represented by (0, 0)

• It can be represented by multiple ordered pairs

• It cannot be represented if R is negative

What is the formula for converting X in rectangular coordinates to polar coordinates?

• X = R sin Theta

• X = R cos Theta

• X = R tan Theta

• X = R

What is the relationship between R squared and X, Y in polar and rectangular coordinates?

• R^2 = X^2 * Y^2

• R^2 = X^2 - Y^2

• R^2 = X + Y

• R^2 = X^2 + Y^2

Why might it be useful to convert equations between polar and rectangular forms?

• To make equations more complex

• To avoid using angles

• To simplify calculations

• To change the coordinate system

What is the polar equation for a circle centered at the origin with radius 5?

• R = 5

• R = 5 cos Theta

• R = 5 Theta

• R = 25

How do you convert the polar equation R = 2 cos Theta to rectangular form?

• R^2 = 2X

• X^2 + Y^2 = 2X

• X = 2 cos Theta

• Y = 2 sin Theta

What type of graph does the equation X^2 + Y^2 = 25 represent in rectangular coordinates?

• Line

• Ellipse

• Parabola

• Circle

What is the rectangular form of the polar equation R = 2?

• X^2 + Y^2 = 4

• X^2 + Y^2 = 2

• X = 2

• Y = 2